Extremal Problems and Inequalities of Markov-Bernstein Type for Algebraic Polynomials
Extremal Problems and Inequalities of Markov-Bernstein Type for Algebraic Polynomials

Author: Robert B. Gardner

Publisher: Elsevier

Published: 2022-02-15

Total Pages: 442

ISBN-13: 0128119888

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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

Publisher: Academic Press

Published: 2022

Total Pages:

ISBN-13:

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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 Bentley Gardner

Publisher:

Published: 2022

Total Pages: 0

ISBN-13:

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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.

Topics in Polynomials
Topics in Polynomials

Author: G. V. Milovanovi?

Publisher: World Scientific

Published: 1994

Total Pages: 842

ISBN-13: 9789810204990

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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.

Extremal Problems and Inequalities of Markov-Bernstein Type for Algebraic Polynomials
Extremal Problems and Inequalities of Markov-Bernstein Type for Algebraic Polynomials

Author: Robert B. Gardner

Publisher: Academic Press

Published: 2022-02-10

Total Pages: 444

ISBN-13: 012812007X

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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

Polynomials and Polynomial Inequalities
Polynomials and Polynomial Inequalities

Author: Peter Borwein

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 491

ISBN-13: 1461207932

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After an introduction to the geometry of polynomials and a discussion of refinements of the Fundamental Theorem of Algebra, the book turns to a consideration of various special polynomials. Chebyshev and Descartes systems are then introduced, and Müntz systems and rational systems are examined in detail. Subsequent chapters discuss denseness questions and the inequalities satisfied by polynomials and rational functions. Appendices on algorithms and computational concerns, on the interpolation theorem, and on orthogonality and irrationality round off the text. The book is self-contained and assumes at most a senior-undergraduate familiarity with real and complex analysis.

Topics In Polynomials: Extremal Problems, Inequalities, Zeros
Topics In Polynomials: Extremal Problems, Inequalities, Zeros

Author: Gradimir V Milovanovic

Publisher: World Scientific

Published: 1994-06-28

Total Pages: 844

ISBN-13: 9814506486

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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

Author: Narenda Govil

Publisher: CRC Press

Published: 2021-01-31

Total Pages: 548

ISBN-13: 1000110184

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"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

Author: Themistocles M. Rassias

Publisher: World Scientific

Published: 1993

Total Pages: 658

ISBN-13: 9789810206147

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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.