REARRANGEMENTS OF GENERAL MONOTONE FUNCTIONS AND OF THEIR FOURIER TRANSFORMS

被引：3

作者：

Booton, Barry ^{[1
]}

机构：

[1] Florida Atlantic Univ, Dept Math Sci, 777 Glades Rd, Boca Raton, FL 33431 USA

来源：

MATHEMATICAL INEQUALITIES & APPLICATIONS | 2018年 / 21卷 / 03期

关键词：

General monotone functions; Fourier transform; rearrangements; norm in-equalities; TRIGONOMETRIC SERIES; INEQUALITIES; COEFFICIENTS;

D O I：

10.7153/mia-2018-21-59

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We extend further Boas' conjecture concerning functions nonincreasing on (0,infinity) and their Fourier transforms by considering rearrangements of general monotone functions and of their Fourier transforms. These results are similar those of Sagher in proving Boas' conjecture. and follow up on recent work of Lillyand and Tikhonov in this area.

引用

页码：871 / 883

页数：13

共 13 条

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