Extremal Problems and Inequalities of Markov-Bernstein Type for Algebraic Polynomials
Subtitle: (Mathematical Analysis and its Applications)
By: Edited by Themistocles Rassias
Edition: First edition
Series: Mathematics in Science and Engineering
Publisher: San Diego: Elsevier Science & Technology
Published: November 15, 2019; 2022 [reprint]
Place of publication: London, UK
Language: eng
Format: Paperback
Number of pages: 444
ISBN-13: 9780128120071; 9780128119884
Copyright date: ©2019
Other titles: Bernstein-Type Inequalities for Polynomials and Rational Functions
Description: 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
Notes: Contains bibliographical references [from p.391-411] and index [p.413-424].
Table of contents: title: - History and introduction : classical Markov-Bernstein inequalities; title: - Different types of Bernstein inequalities; title: - Extremal problems of Markov-Bernstein type in integral norms; title: - Bernstein-type inequalities for polynomials with restricted zeros; title: - Bernstein-type inequalities in the Lr norm; title: - Bernstein-type inequalities for polar derivatives of polynomials; title: - Bibliography; title: - Author Index; title: - Subject Index