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

Alternate Titles

• Bernstein-Type Inequalities for Polynomials and Rational Functions

Description

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 <i>Extremal Problems and Inequalities of Markov-Bernstein Type for Algebraic Polynomials</i>, 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.

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

Subjects

Series Statement

• Mathematics in Science and Engineering

Other Editions

• Extremal Problems and Inequalities of Markov-Bernstein Type for Algebraic Polynomials: (Mathematical Analysis and its Applications)PaperbackSan Diego: Elsevier Science & Technology
• Bernstein-Type Inequalities for Polynomials and Rational FunctionsElsevier Science & Technology2020-01-01