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

Journal Article · Fri Oct 31 04:00:00 EDT 2014 · Sbornik. Mathematics

DOI:https://doi.org/10.1070/SM2014V205N10ABEH004424· OSTI ID:22364686

Olesov, A V ^[1]

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1. G.I. Nevelskoi Maritime State University, Vladivostok (Russian Federation)

New inequalities are established for analytic functions satisfying Meiman's majorization conditions. Estimates for values of and differential inequalities involving rational trigonometric functions with an integer majorant on an 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.

• OSTI ID: 22364686
• Journal Information: Sbornik. Mathematics, Journal Name: Sbornik. Mathematics Journal Issue: 10 Vol. 205; ISSN 1064-5616
• Country of Publication: United States
• Language: English

Related Subjects

97 MATHEMATICS AND COMPUTING
ANALYTIC FUNCTIONS
CALCULATION METHODS
LENGTH
MATHEMATICAL SOLUTIONS
POLYNOMIALS