Refinement of some Bernstein type inequalities for rational functions

DOI10.15393/J3.ART.2022.11350zbMATH Open1494.30012OpenAlexW4214908721MaRDI QIDQ5086608

Idrees Qasim

Publication date: 6 July 2022

Published in: Issues of Analysis (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/pa346

zbMATH Keywords

zerosrational functionspolar derivativepolynomial inequalitiespoles

Mathematics Subject Classification ID

Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Polynomials and rational functions of one complex variable (30C10) Inequalities in the complex plane (30A10)

Cites Work

• Title not available (Why is that?)
• Some applications of Dubinin's lemma to rational functions with prescribed poles
• Distortion theorems for polynomials on a circle
• A comparison inequality for rational functions
• Bernstein-Type Inequalities for Rational Functions with Prescribed Poles
• Proof of a conjecture of P. Erdös on the derivative of a polynomial
• Inequalities for a polynomial and its derivative

Related Items (6)

INEQUALITIES PERTAINING TO RATIONAL FUNCTIONS WITH PRESCRIBED POLES ⋮ INEQUALITIES OF BERNSTEIN TYPE FOR DERIVATIVES OF RATIONAL FUNCTIONS, AND INVERSE THEOREMS OF RATIONAL APPROXIMATION ⋮ A Bernstein-type inequality for rational functions in weighted Bergman spaces ⋮ Bernstein- and Markov-type inequalities for rational functions ⋮ Smirnov and Bernstein-type inequalities, taking into account higher-order coefficients and free terms of polynomials ⋮ On the Bernstein inequality for rational functions with a prescribed zero

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