Bernstein-type Inequalities for Polynomials and Rational Functions

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 necessaryPresents complex math in a clean and simple way, progressing readers from polynomials into rational functionsContains exhaustive references with thousands of citations to articles and booksFeatures methods to solve inverse problems across approximation theoryIncludes open problems for further research