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

By: Robert B. Gardner Narendra K. Govil Gradimir V. Milovanovic (Author)

Ksh 24,840.00
Format :

Format(s): DRM PDF DRM EPUB

ISBN-13: 9780128120071

Publisher: Elsevier Science

Imprint: Elsevier

Publication Date: February 10th, 2022

Country of Publication: US

Language: English

Pages: 442

Physical Edition EAN: 9780128119884

Category: Mathematics , Real analysis, real variables , Applied mathematics

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  • Description

  • Author Bio

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

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