Extremal Problems And Inequalities Of Markov Bernstein Type For Algebraic Polynomial
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Extremal Problems And Inequalities Of Markov Bernstein Type For Algebraic Polynomial
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Author : Robert Bentley Gardner
language : en
Publisher:
Release Date : 2022
Extremal Problems And Inequalities Of Markov Bernstein Type For Algebraic Polynomial written by Robert Bentley Gardner and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022 with Inequalities (Mathematics) categories.
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.
Extremal Problems And Inequalities Of Markov Bernstein Type For Algebraic Polynomials
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Author : Robert B. Gardner
language : en
Publisher: Academic Press
Release Date : 2022-02-10
Extremal Problems And Inequalities Of Markov Bernstein Type For Algebraic Polynomials written by Robert B. Gardner and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-02-10 with Mathematics categories.
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
Extremal Problems And Inequalities Of Markov Bernstein Type For Algebraic Polynomial
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Author : Robert B. Gardner
language : en
Publisher: Academic Press
Release Date : 2022
Extremal Problems And Inequalities Of Markov Bernstein Type For Algebraic Polynomial written by Robert B. Gardner and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022 with Inequalities (Mathematics) categories.
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.
Topics In Polynomials Extremal Problems Inequalities Zeros
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Author : Gradimir V Milovanovic
language : en
Publisher: World Scientific
Release Date : 1994-06-28
Topics In Polynomials Extremal Problems Inequalities Zeros written by Gradimir V Milovanovic and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994-06-28 with Science categories.
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.
Generalized Functions And Convergence Memorial Volume For Professor Jan Mikusinski
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Author : Piotr Antosik
language : en
Publisher: World Scientific
Release Date : 1990-09-12
Generalized Functions And Convergence Memorial Volume For Professor Jan Mikusinski written by Piotr Antosik and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990-09-12 with categories.
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.
Analytic And Geometric Inequalities And Applications
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Author : Themistocles RASSIAS
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Analytic And Geometric Inequalities And Applications written by Themistocles RASSIAS and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
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.
Recent Progress In Inequalities
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Author : G.V. Milovanovic
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-14
Recent Progress In Inequalities written by G.V. Milovanovic and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-14 with Mathematics categories.
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.
Approximation And Computation
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Author : Walter Gautschi
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-10-20
Approximation And Computation written by Walter Gautschi and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-10-20 with Mathematics categories.
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.
Orthogonal Functions
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Author : William Jones
language : en
Publisher: CRC Press
Release Date : 2020-12-22
Orthogonal Functions written by William Jones and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-12-22 with Mathematics categories.
"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."
Approximation Theory
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Author : Narenda Govil
language : en
Publisher: CRC Press
Release Date : 2021-01-31
Approximation Theory written by Narenda Govil and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-01-31 with Mathematics categories.
"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."