Extremal Problems and Inequalities of Markov Bernstein Type for Algebraic Polynomial

Extremal Problems and Inequalities of Markov Bernstein Type for Algebraic Polynomial
Author: Robert B. Gardner,Narendra K. Govil,Gradimir V. Milovanovic
Publsiher: Academic Press
Total Pages: 135
Release: 2022
ISBN 10: 1928374650XXX
ISBN 13: OCLC:1305062063
Language: EN, FR, DE, ES & NL

Extremal Problems and Inequalities of Markov Bernstein Type for Algebraic Polynomial Book Review:

Inequalities for polynomials and their derivatives are very important in many areas of mathematics, as well as in other computational and applied sciences; in particular they play a fundamental role in approximation theory. Here, not only Extremal Problems and Inequalities of Markov-Bernstein Type for Algebraic Polynomials, but also ones for trigonometric polynomials and related functions, are treated in an integrated and comprehensive style in different metrics, both on general classes of polynomials and on important restrictive classes of polynomials. Primarily for graduate and PhD students, this book is useful for any researchers exploring problems which require derivative estimates. It is particularly useful for those studying inverse problems in approximation theory.

Extremal Problems and Inequalities of Markov Bernstein Type for Algebraic Polynomial

Extremal Problems and Inequalities of Markov Bernstein Type for Algebraic Polynomial
Author: Robert B. Gardner,Robert Gardner,Narendra Govil,Gradimir V. Milovanovic
Publsiher: Elsevier
Total Pages: 304
Release: 2022-05-15
ISBN 10: 0128119888
ISBN 13: 9780128119884
Language: EN, FR, DE, ES & NL

Extremal Problems and Inequalities of Markov Bernstein Type for Algebraic Polynomial Book Review:

Bernstein-type Inequalities for Polynomials and Rational Functions is an integrated, powerful and clear presentation of the emergent field in approximation theory. It presents a unified description of solution norms relevant to complex polynomials, rational functions and exponential functions. Primarily for graduate students and first year PhDs, this book is useful for any researcher exploring problems which require derivative estimates. It is particularly useful for those studying inverse problems in approximation theory. Applies Bernstein-type Inequalities to any problem where derivative estimates are necessary Presents complex math in a clean and simple way, progressing readers from polynomials into rational functions Contains exhaustive references with thousands of citations to articles and books Features methods to solve inverse problems across approximation theory Includes open problems for further research

Extremal Problems and Inequalities of Markov Bernstein Type for Algebraic Polynomial

Extremal Problems and Inequalities of Markov Bernstein Type for Algebraic Polynomial
Author: Robert B. Gardner,Narendra K. Govil,Gradimir V. Milovanovic
Publsiher: Academic Press
Total Pages: 442
Release: 2022-03-14
ISBN 10: 012812007X
ISBN 13: 9780128120071
Language: EN, FR, DE, ES & NL

Extremal Problems and Inequalities of Markov Bernstein Type for Algebraic Polynomial Book Review:

Inequalities for polynomials and their derivatives are very important in many areas of mathematics, as well as in other computational and applied sciences; in particular they play a fundamental role in approximation theory. Here, not only Extremal Problems and Inequalities of Markov-Bernstein Type for Algebraic Polynomials, but also ones for trigonometric polynomials and related functions, are treated in an integrated and comprehensive style in different metrics, both on general classes of polynomials and on important restrictive classes of polynomials. Primarily for graduate and PhD students, this book is useful for any researchers exploring problems which require derivative estimates. It is particularly useful for those studying inverse problems in approximation theory. Applies Markov-Bernstein-type inequalities to any problem where derivative estimates are necessary Presents complex math in a clean and simple way, progressing readers from polynomials into rational functions, and entire functions of exponential type Contains exhaustive references with more than five hundred citations to articles and books Features methods to solve inverse problems across approximation theory Includes open problems for further research

Approximation Theory

Approximation Theory
Author: Narenda Govil,Ram N. Mohapatra,Zuhair Nashed,A. Sharma,J. Szabados
Publsiher: CRC Press
Total Pages: 552
Release: 2021-02-01
ISBN 10: 1000146030
ISBN 13: 9781000146035
Language: EN, FR, DE, ES & NL

Approximation Theory Book Review:

"Contains the contributions of 45 internationally distinguished mathematicians covering all areas of approximation theory-written in honor of the pioneering work of Arun K. Varma to the fields of interpolation and approximation of functions, including Birhoff interpolation and approximation by spline functions."

Topics in Polynomials

Topics in Polynomials
Author: G V Milovanovic,D S Mitrinovic,Th M Rassias
Publsiher: World Scientific
Total Pages: 836
Release: 1994-06-28
ISBN 10: 9814506486
ISBN 13: 9789814506489
Language: EN, FR, DE, ES & NL

Topics in Polynomials Book Review:

The book contains some of the most important results on the analysis of polynomials and their derivatives. Besides the fundamental results which are treated with their proofs, the book also provides an account of the most recent developments concerning extremal properties of polynomials and their derivatives in various metrics with an extensive analysis of inequalities for trigonometric sums and algebraic polynomials, as well as their zeros. The final chapter provides some selected applications of polynomials in approximation theory and computer aided geometric design (CAGD). One can also find in this book several new research problems and conjectures with sufficient information concerning the results obtained to date towards the investigation of their solution. Contents:PrefaceGeneral Concept of Algebraic PolynomialsSelected Polynomial InequalitiesZeros of PolynomialsInequalities Connected with Trigonometric SumsExtremal Problems for PolynomialsExtremal Problems of Markov-Bernstein TypeSome Applications of PolynomialsSymbol IndexName IndexSubject Index Readership: Mathematicians and mathematical physicists. keywords:Algebraic Polynomials;Trigonometric Polynomials;Zeros;Extremal Problems;Trigonometric Sums;Positivity and Monotonicity;Distribution of Zeros;Bounds for Polynomial Zeros;Incomplete Polynomials;Polynomials with Minimal Norm;Markov-Bernstein Inequalities;Approximation;Symmetric Functions;Orthogonal Polynomials;Nonnegative Polynomials “The topics are tastefully selected and the results are easy to find. Although this book is not really planned as a textbook to teach from, it is excellent for self-study or seminars. This is a very useful reference book with many results which have not appeared in a book form yet. It is an important addition to the literature.” Journal of Approximation Theory “I find the book to be well written and readable. The authors have made an attempt to present the material in an integrated and self-contained fashion and, in my opinion, they have been greatly successful. The book would be useful not only for the specialist mathematician, but also for those researchers in the applied and computational sciences who use polynomials as a tool.” Mathematical Reviews “This is a remarkable book, offering a cornucopia of results, all connected by their involvement with polynomials. The scope of the volume can be conveyed by citing some statistics: there are 821 pages, 7 chapters, 20 sections, 108 subsections, 95 pages of references (distributed throughout the book), a name index of 16 pages, and a subject index of 19 pages … The book is written in a gentle style: one can open it anywhere and begin to understand, without encountering unfamiliar notation and terminology. It is strongly recommended to individuals and to libraries.” Mathematics of Computation “This book contains some of the most important results on the analysis of polynomials and their derivatives … is intended, not only for the specialist mathematician, but also for those researchers in the applied sciences who use polynomials as a tool.” Sever S Dragomir “This is a well-written book on a widely useful topic. It is strongly recommended not only to the mathematical specialist, but also to all those researchers in the applied and computational sciences who make frequent use of polynomials as a tool. Of course, libraries will also benefit greatly by including this book in their cherished collection.” Mathematics Abstracts “There is no doubt that this is a very useful work compiling enormous researches carried out on the subject … This is a well-written book on a widely useful topic.” Zentralblatt für Mathematik

Generalized Functions and Convergence

Generalized Functions and Convergence
Author: Piotr Antosik,Andrzej Kamiński
Publsiher: World Scientific
Total Pages: 396
Release: 1990-09-12
ISBN 10: 9814611719
ISBN 13: 9789814611718
Language: EN, FR, DE, ES & NL

Generalized Functions and Convergence Book Review:

The conference was devoted to the memory of the late Professor Jan Mikusinski. The proceedings is divided into three parts. The first one contains biographical materials and memoirs about Professor Mikusinski and his work. The second part is devoted to the theory of generalized functions and the third to convergence structures. Contents:On Uniform Convergence of the Inner Product of Sequences (P Antosik et al)Decompositions of F-spaces into spaces with Properties K, N or k (J Burzyk)Finite Integral Transforms for Non-Local Boundary Value Problems (I H Dimovski & R I Petrova) On the Neutrix Convolution Product xs * xλ+ (B Fisher)On the Wiener-Laguerre Transform of Generalized Functions (H J Glaeske)On Distributional Solutions of the Generalized Entropy Equation (A Kaminski)On a Representation of the Algebra o of Mikusinski Operators (C Klis)Semilinear Wave Equations with Rough Initial Data: Generalized Solutions (M Oberguggenberger)Prodigious Mystery of Genuine Analysis (D Przeworska-Rolewicz)Asymtotic Bounds for the Distributional Stieltjes Transforms (A Takaci)On Tensor Product and Convolution of Generalized Functions of Gelfand-Shilov Type (J Uryga)Multidimensional Tauberian Theorems for Distributions (V S Vladimirov et al)and others Readership: Mathematicians and mathematical physicists.

Topics in Polynomials of One and Several Variables and Their Applications

Topics in Polynomials of One and Several Variables and Their Applications
Author: Themistocles M. Rassias,H. M. Srivastava
Publsiher: World Scientific
Total Pages: 638
Release: 1993
ISBN 10: 9789810206147
ISBN 13: 9810206143
Language: EN, FR, DE, ES & NL

Topics in Polynomials of One and Several Variables and Their Applications Book Review:

This volume presents an account of some of the most important work that has been done on various research problems in the theory of polynomials of one and several variables and their applications. It is dedicated to P L Chebyshev, a leading Russian mathematician.

Approximation and Computation

Approximation and Computation
Author: Walter Gautschi,Giuseppe Mastroianni,Themistocles M. Rassias
Publsiher: Springer Science & Business Media
Total Pages: 482
Release: 2010-10-20
ISBN 10: 1441965947
ISBN 13: 9781441965943
Language: EN, FR, DE, ES & NL

Approximation and Computation Book Review:

Approximation theory and numerical analysis are central to the creation of accurate computer simulations and mathematical models. Research in these areas can influence the computational techniques used in a variety of mathematical and computational sciences. This collection of contributed chapters, dedicated to renowned mathematician Gradimir V. Milovanović, represent the recent work of experts in the fields of approximation theory and numerical analysis. These invited contributions describe new trends in these important areas of research including theoretic developments, new computational algorithms, and multidisciplinary applications. Special features of this volume: - Presents results and approximation methods in various computational settings including: polynomial and orthogonal systems, analytic functions, and differential equations. - Provides a historical overview of approximation theory and many of its subdisciplines; - Contains new results from diverse areas of research spanning mathematics, engineering, and the computational sciences. "Approximation and Computation" is intended for mathematicians and researchers focusing on approximation theory and numerical analysis, but can also be a valuable resource to students and researchers in the computational and applied sciences.

Analytic and Geometric Inequalities and Applications

Analytic and Geometric Inequalities and Applications
Author: Themistocles RASSIAS,Hari M. Srivastava
Publsiher: Springer Science & Business Media
Total Pages: 377
Release: 2012-12-06
ISBN 10: 9401145776
ISBN 13: 9789401145770
Language: EN, FR, DE, ES & NL

Analytic and Geometric Inequalities and Applications Book Review:

Analytic and Geometric Inequalities and Applications is devoted to recent advances in a variety of inequalities of Mathematical Analysis and Geo metry. Subjects dealt with in this volume include: Fractional order inequalities of Hardy type, differential and integral inequalities with initial time differ ence, multi-dimensional integral inequalities, Opial type inequalities, Gruss' inequality, Furuta inequality, Laguerre-Samuelson inequality with extensions and applications in statistics and matrix theory, distortion inequalities for ana lytic and univalent functions associated with certain fractional calculus and other linear operators, problem of infimum in the positive cone, alpha-quasi convex functions defined by convolution with incomplete beta functions, Chebyshev polynomials with integer coefficients, extremal problems for poly nomials, Bernstein's inequality and Gauss-Lucas theorem, numerical radii of some companion matrices and bounds for the zeros of polynomials, degree of convergence for a class of linear operators, open problems on eigenvalues of the Laplacian, fourth order obstacle boundary value problems, bounds on entropy measures for mixed populations as well as controlling the velocity of Brownian motion by its terminal value. A wealth of applications of the above is also included. We wish to express our appreciation to the distinguished mathematicians who contributed to this volume. Finally, it is our pleasure to acknowledge the fine cooperation and assistance provided by the staff of Kluwer Academic Publishers. June 1999 Themistocles M. Rassias Hari M.

Orthogonal Functions

Orthogonal Functions
Author: William Jones
Publsiher: CRC Press
Total Pages: 135
Release: 2020-12-23
ISBN 10: 1000153673
ISBN 13: 9781000153675
Language: EN, FR, DE, ES & NL

Orthogonal Functions Book Review:

"Oulines an array of recent work on the analytic theory and potential applications of continued fractions, linear functionals, orthogonal functions, moment theory, and integral transforms. Describes links between continued fractions. Pade approximation, special functions, and Gaussian quadrature."

General Inequalities 6

General Inequalities 6
Author: Wolfgang Walter
Publsiher: Birkhäuser
Total Pages: 508
Release: 2013-11-11
ISBN 10: 3034875657
ISBN 13: 9783034875653
Language: EN, FR, DE, ES & NL

General Inequalities 6 Book Review:

The sixthInternational Conference on General Inequalities was held from Dec. 9 to Dec. 15, 1990, at the Mathematisches Forschungsinstitut Oberwolfach (Black Fa rest, Germany). The organizing committee was composed of W.N. Everitt (Birm ingham), L. Losonczi (Debrecen) and W. Walter (Karlsruhe). Dr. A. Kovacec ( Coimbra) served cheerfully and efficiently as secretary of the meeting. The con ference was attended by 44 participants from 20 countries. Yet again the importance of inequalities in both pure and applied mathematics was made evident from the wide range of interests of the individual participants, and from the wealth of new results announced. New inequalities were presented in the usual spread of the subject areas now expected for these meetings: Classical and functional analysis, existence and boundary value problems for both ordinary and partial differential equations, with special contributions to computer science, quantum holography and error analysis. More strongly than ever, the role played by modern electronic computers was made clear in testing out and prohing into the validity and structure of certain inequalities. Here the computer acts not only for numerical calculations of great complexity, but also in symbolic manipulation of complex finite structures. Prob lems in inequalities which even a few years ago were intractable, now fall to solution or receive direct and positive guidance as a result of computer applications. The interface between finite and infinite structures in mathematics and the versatility of modern computers is weil developed in the subject of general inequalities.

Extremal Properties of Polynomials and Splines

Extremal Properties of Polynomials and Splines
Author: Nikolaĭ Pavlovich Korneĭchuk,Anatoliĭ Aleksandrovich Ligun,V. F. Babenko
Publsiher: Nova Publishers
Total Pages: 433
Release: 1996
ISBN 10: 9781560723615
ISBN 13: 1560723610
Language: EN, FR, DE, ES & NL

Extremal Properties of Polynomials and Splines Book Review:

Extremal Properties of Polynomials & Splines

Recent Progress in Inequalities

Recent Progress in Inequalities
Author: G.V. Milovanovic
Publsiher: Springer Science & Business Media
Total Pages: 524
Release: 1998-01-31
ISBN 10: 9780792348450
ISBN 13: 0792348451
Language: EN, FR, DE, ES & NL

Recent Progress in Inequalities Book Review:

This volume is dedicated to the late Professor Dragoslav S. Mitrinovic(1908-1995), one of the most accomplished masters in the domain of inequalities. Inequalities are to be found everywhere and play an important and significant role in almost all subjects of mathematics as well as in other areas of sciences. Professor Mitrinovic used to say: `There are no equalities, even in human life inequalities are always encountered.' This volume provides an extensive survey of the most current topics in almost all subjects in the field of inequalities, written by 85 outstanding scientists from twenty countries. Some of the papers were presented at the International Memorial Conference dedicated to Professor D.S. Mitrinovic, which was held at the University of Nis, June 20-22, 1996. Audience: This book will be of great interest to researchers in real, complex and functional analysis, special functions, approximation theory, numerical analysis and computation, and other fields, as well as to graduate students requiring the most up-to-date results.

Generalized Functions and Convergence

Generalized Functions and Convergence
Author: Piotr Antosik,Andrzej Kamiński
Publsiher: World Scientific Publishing Company Incorporated
Total Pages: 386
Release: 1990
ISBN 10: 1928374650XXX
ISBN 13: UCAL:B4406622
Language: EN, FR, DE, ES & NL

Generalized Functions and Convergence Book Review:

The conference was devoted to the memory of the late Professor Jan Mikusinski. The proceedings is divided into three parts. The first one contains biographical materials and memoirs about Professor Mikusinski and his work. The second part is devoted to the theory of generalized functions and the third to convergence structures.

Mathematical Reviews

Mathematical Reviews
Author: Anonim
Publsiher: Unknown
Total Pages: 135
Release: 2003
ISBN 10: 1928374650XXX
ISBN 13: UVA:X006180631
Language: EN, FR, DE, ES & NL

Mathematical Reviews Book Review:

Handbook of Functional Equations

Handbook of Functional Equations
Author: Themistocles M. Rassias
Publsiher: Springer
Total Pages: 555
Release: 2014-11-18
ISBN 10: 1493912461
ISBN 13: 9781493912469
Language: EN, FR, DE, ES & NL

Handbook of Functional Equations Book Review:

As Richard Bellman has so elegantly stated at the Second International Conference on General Inequalities (Oberwolfach, 1978), “There are three reasons for the study of inequalities: practical, theoretical, and aesthetic.” On the aesthetic aspects, he said, “As has been pointed out, beauty is in the eye of the beholder. However, it is generally agreed that certain pieces of music, art, or mathematics are beautiful. There is an elegance to inequalities that makes them very attractive.” The content of the Handbook focuses mainly on both old and recent developments on approximate homomorphisms, on a relation between the Hardy–Hilbert and the Gabriel inequality, generalized Hardy–Hilbert type inequalities on multiple weighted Orlicz spaces, half-discrete Hilbert-type inequalities, on affine mappings, on contractive operators, on multiplicative Ostrowski and trapezoid inequalities, Ostrowski type inequalities for the Riemann–Stieltjes integral, means and related functional inequalities, Weighted Gini means, controlled additive relations, Szasz–Mirakyan operators, extremal problems in polynomials and entire functions, applications of functional equations to Dirichlet problem for doubly connected domains, nonlinear elliptic problems depending on parameters, on strongly convex functions, as well as applications to some new algorithms for solving general equilibrium problems, inequalities for the Fisher’s information measures, financial networks, mathematical models of mechanical fields in media with inclusions and holes.

Probability Theory Function Theory Mechanics

Probability Theory  Function Theory  Mechanics
Author: I︠U︡riĭ Vasilʹevich Prokhorov,Jurij V. Prochorov
Publsiher: American Mathematical Soc.
Total Pages: 317
Release: 1990
ISBN 10: 9780821831328
ISBN 13: 0821831321
Language: EN, FR, DE, ES & NL

Probability Theory Function Theory Mechanics Book Review:

This is a translation of the fifth and final volume in a special cycle of publications in commemoration of the 50th anniversary of the Steklov Mathematical Institute of the Academy of Sciences in the USSR. The purpose of the special cycle was to present surveys of work on certain important trends and problems pursued at the Institute. Because the choice of the form and character of the surveys were left up to the authors, the surveys do not necessarily form a comprehensive overview, but rather represent the authors' perspectives on the important developments. The survey papers in this collection range over a variety of areas, including - probability theory and mathematical statistics, metric theory of functions, approximation of functions, descriptive set theory, spaces with an indefinite metric, group representations, mathematical problems of mechanics and spaces of functions of several real variables and some applications.

The Christoffel Darboux Kernel for Data Analysis

The Christoffel   Darboux Kernel for Data Analysis
Author: Jean Bernard Lasserre,Edouard Pauwels,Mihai Putinar
Publsiher: Cambridge University Press
Total Pages: 188
Release: 2022-04-07
ISBN 10: 1108838065
ISBN 13: 9781108838061
Language: EN, FR, DE, ES & NL

The Christoffel Darboux Kernel for Data Analysis Book Review:

This accessible overview introduces the Christoffel-Darboux kernel as a novel, simple and efficient tool in statistical data analysis.

Approximation of Functions by Polynomials and Splines

Approximation of Functions by Polynomials and Splines
Author: S. B. Stechkin
Publsiher: American Mathematical Soc.
Total Pages: 270
Release: 1981
ISBN 10: 9780821830499
ISBN 13: 082183049X
Language: EN, FR, DE, ES & NL

Approximation of Functions by Polynomials and Splines Book Review:

Papers and articles about polynomials and splines pproximation.

Transactions of the American Mathematical Society

Transactions of the American Mathematical Society
Author: American Mathematical Society
Publsiher: Unknown
Total Pages: 135
Release: 1995
ISBN 10: 1928374650XXX
ISBN 13: UCAL:B4334165
Language: EN, FR, DE, ES & NL

Transactions of the American Mathematical Society Book Review: