On an Extremal Gheit Function and Its Applications

IF 1.9 3区物理与天体物理 Q2 PHYSICS, MATHEMATICAL

Russian Journal of Mathematical Physics Pub Date : 2026-03-27 DOI:10.1134/S106192082560165X

N.A. Ilyasov, A.R. Alimov

引用次数: 0

Abstract

We find exact orders of decrease of quantities that characterize various properties of \(2\pi\)-periodic summable functions on a class with given majorant of the second-order modulus of continuity. We show that all these quantities have the same order of decrease (with a single condition on the behavior of the majorant), which is attained on a singe extremal function.

查看原文本刊更多论文

极值Gheit函数及其应用

在给定二阶连续模的主量的一类上，我们找到了表征\(2\pi\) -周期可和函数各种性质的精确的量的减少阶数。我们证明了所有这些量都具有相同的递减顺序（对主要行为的单一条件），这是在单个极值函数上得到的。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

来源期刊

Russian Journal of Mathematical Physics 物理-物理：数学物理

CiteScore

3.10

自引率

14.30%

发文量

审稿时长

>12 weeks

期刊介绍： Russian Journal of Mathematical Physics is a peer-reviewed periodical that deals with the full range of topics subsumed by that discipline, which lies at the foundation of much of contemporary science. Thus, in addition to mathematical physics per se, the journal coverage includes, but is not limited to, functional analysis, linear and nonlinear partial differential equations, algebras, quantization, quantum field theory, modern differential and algebraic geometry and topology, representations of Lie groups, calculus of variations, asymptotic methods, random process theory, dynamical systems, and control theory.