Generalization of the Abel-Poisson method for summations of Fourier trigonometric series

被引：2

作者：

Trigub, R. M. ^{[1
]}

机构：

[1] Donetsk Natl Univ, Donetsk, Ukraine

来源：

MATHEMATICAL NOTES | 2014年 / 96卷 / 3-4期

关键词：

Fourier series; summation; uniform convergence; Abel transformation; Poisson kernel; Banach space; Bochner-Riesz mean;

D O I：

10.1134/S0001434614090181

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We also note that the problem studied in this paper was posed when the author reported at the seminar on the theory of functions of a real variable at Moscow State University in April 2013. A partial answer was given by the author in his lecture at the International Conference “Contemporary Methods and Problems of Operator Theory and Harmonic Analysis and Their Applications, III” in Rostov-on-Don (Southern Federal University, June 2–6, 2013). © 2014 Pleiades Publishing, Ltd., R. M. Trigub. All rights reserved.

引用

页码：454 / 457

页数：4

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