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Extremal Problems And Inequalities Of Markov Bernstein Type For Algebraic Polynomials


Extremal Problems And Inequalities Of Markov Bernstein Type For Algebraic Polynomials
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Extremal Problems And Inequalities Of Markov Bernstein Type For Algebraic Polynomial


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


Extremal Problems And Inequalities Of Markov Bernstein Type For Algebraic Polynomials
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Author : Robert B. Gardner
language : en
Publisher: Elsevier
Release Date : 2022-02-15

Extremal Problems And Inequalities Of Markov Bernstein Type For Algebraic Polynomials written by Robert B. Gardner and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-02-15 with Mathematics categories.


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 Polynomials


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


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


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.



Approximation Theory


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."



Topics In Polynomials Of One And Several Variables And Their Applications


Topics In Polynomials Of One And Several Variables And Their Applications
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Author : Themistocles M. Rassias
language : en
Publisher: World Scientific
Release Date : 1993

Topics In Polynomials Of One And Several Variables And Their Applications written by Themistocles M. Rassias and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with Mathematics categories.


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.



Generalized Functions And Convergence Memorial Volume For Professor Jan Mikusinski


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.



Analysis Approximation Optimization Computation And Applications


Analysis Approximation Optimization Computation And Applications
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Author : Marija P. Stanić
language : en
Publisher: Springer Nature
Release Date : 2025-07-14

Analysis Approximation Optimization Computation And Applications written by Marija P. Stanić and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-07-14 with Mathematics categories.


This contributed volume is dedicated to Academician Gradimir V. Milovanović on his 75th birthday and contains recent results in the fields of approximation theory, numerical analysis, mathematical analysis, optimization theory, and various applications of an interdisciplinary character. Most of these results were presented in person during an International Conference “Analysis, Approximations and Applications" (AAA2023), organized by the Faculty of Science, University of Kragujevac in Vrnjačka Banja, Serbia (June 21-24, 2023). This book is intended for researchers and students of mathematics and other computational and applied sciences. This book provides surveys of state of the art results in the fields of Extremal Problems, Optimization and Calculus of Variations; Orthogonal Systems and Quadrature Formulas; Differential and Integral Equations, Integral Transforms and Operation Calculus; Analytic Number Theory and Special Functions; Real and Complex Functions, Sequences, Series, Approximations and Expansions; Functional Analysis, Operator Theory, Fixed Point Theory and Iterative Processes, as well as in Miscellaneous Applications.



Approximation And Computation


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.