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Title: Inequalities for majorizing analytic functions and their applications to rational trigonometric functions and polynomials

New inequalities are established for analytic functions satisfying Meiman's majorization conditions. Estimates for values of and differential inequalities involving rational trigonometric functions with anĀ integer majorant on anĀ interval of length less than the period and with prescribed poles which are symmetrically positioned relative to the real axis, as well as differential inequalities for trigonometric polynomials in some classes, are given as applications. These results improve several theorems due to Meiman, Genchev, Smirnov and Rusak. Bibliography: 27 titles.
Authors:
 [1]
  1. G.I. Nevelskoi Maritime State University, Vladivostok (Russian Federation)
Publication Date:
OSTI Identifier:
22364686
Resource Type:
Journal Article
Resource Relation:
Journal Name: Sbornik. Mathematics; Journal Volume: 205; Journal Issue: 10; Other Information: Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
97 MATHEMATICAL METHODS AND COMPUTING; ANALYTIC FUNCTIONS; CALCULATION METHODS; LENGTH; MATHEMATICAL SOLUTIONS; POLYNOMIALS