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

共 50 条

[1] Generalization of the Abel-Poisson method for summations of Fourier trigonometric series
R. M. Trigub
Mathematical Notes, 2014, 96 : 454 - 457
[2] Summability of trigonometric Fourier series at d-points and a generalization of the Abel-Poisson method
Trigub, R. M.
IZVESTIYA MATHEMATICS, 2015, 79 (04) : 838 - 858
[3] On determination of jumps in terms of Abel-Poisson mean of Fourier series
Yu, Dansheng
Zhou, Ping
Zhou, Songping
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2008, 341 (01) : 12 - 23
[4] On determination of jumps in terms of the Abel-Poisson mean of Fourier series. II
Yu, Dansheng
Zhou, Ping
Zhou, Songping
ANALYSIS MATHEMATICA, 2009, 35 (03) : 233 - 247
[5] On approximation by Abel-Poisson and conjugate Abel-Poisson means in Hölder metric
Krasniqi, Xhevat Z.
AFRIKA MATEMATIKA, 2024, 35 (02)
[6] On determination of jumps in terms of the Abel-Poisson mean of Fourier series. IIОб определении скачков в терминах среднего Абеля-Пуассона рядов Фурье. II
Dansheng Yu
Ping Zhou
Songping Zhou
Analysis Mathematica, 2009, 35 : 233 - 247
[7] On A Characterization of Compactness and the Abel-Poisson Summability of Fourier Coefficients In Banach Spaces
Ozturk, Seda
FILOMAT, 2016, 30 (04) : 1061 - 1068
[8] Ferenc Lukacs type theorems in terms of the Abel-Poisson mean of conjugate series
Móricz, F
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2003, 131 (04) : 1243 - 1250
[9] On approximation of functions by generalized Abel-Poisson operators
Falaleev, LP
SIBERIAN MATHEMATICAL JOURNAL, 2001, 42 (04) : 779 - 788
[10] Determination of jumps in terms of Abel-Poisson means
Móricz F.
Acta Mathematica Hungarica, 2002, 98 (3) : 259 - 262

← 1 2 3 4 5 →