Approximation of Continuous Functions by Matrix Means of Hexagonal Fourier Series

被引：2

作者：

Guven, Ali ^{[1
]}

机构：

[1] Balikesir Univ, Fac Arts & Sci, Dept Math, TR-10145 Balikesir, Turkey

来源：

RESULTS IN MATHEMATICS | 2018年 / 73卷 / 01期

关键词：

A-transform; degree of approximation; hexagonal Fourier series; Holder class;

D O I：

10.1007/s00025-018-0775-z

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Some estimates for the degree of approximation by matrix means of hexagonal Fourier series of H-periodic continuous functions are obtained. The degree of approximation of H-periodic Holder continuous functions by these means is investigated in uniform and Holder norms and some results about Riesz and Norlund means of hexagonal Fourier series are concluded.

引用

页数：25

共 50 条

[31] ON THE DEGREE OF APPROXIMATION OF A CLASS OF FUNCTIONS BY MEANS OF FOURIER-SERIES
CHANDRA, P
[J]. ACTA MATHEMATICA HUNGARICA, 1988, 52 (3-4) : 199 - 205
[32] APPROXIMATION BY THE Kλ MEANS OF FOURIER SERIES AND CONJUGATE SERIES OF FUNCTIONS IN Hα,p
Ben Landon
Carley, Holly
Mohapatra, R. N.
[J]. APPLICABLE ANALYSIS AND DISCRETE MATHEMATICS, 2020, 14 (03) : 800 - 818
[33] THE APPROXIMATION OF CONTINUOUS FUNCTIONS BY PARTIAL SUMS OF ITS FOURIER SERIES
郭竹瑞
[J]. Acta Mathematica Scientia, 1983, (04) : 439 - 443
[34] BEST APPROXIMATION OF FUNCTIONS OF GENERALIZED ZYGMUND CLASS BY MATRIX-EULER SUMMABILITY MEANS OF FOURIER SERIES
Lal, Shyam
Shireen
[J]. BULLETIN OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2013, 5 (04): : 1 - 13
[35] ON PROBLEM OF APPROXIMATION OF A CONTINUOUS FUNCTION BY LINEAR MEANS OF ITS FOURIER SERIES
GUO, ZR
[J]. CHINESE MATHEMATICS, 1966, 8 (03): : 348 - &
[36] Rate of Pointwise Approximation of Functions by the Cesaro (C, β)-Means of Their Fourier Series
D'yachenko, A. M.
[J]. MATHEMATICAL NOTES, 2010, 88 (1-2) : 198 - 208
[37] Approximation of Functions by Borel Means of Fourier Series with Respect to Multiplicative Systems
Iofina, T., V
[J]. IZVESTIYA SARATOVSKOGO UNIVERSITETA NOVAYA SERIYA-MATEMATIKA MEKHANIKA INFORMATIKA, 2011, 11 (03): : 15 - 21
[38] APPROXIMATION BY NORLUND MEANS OF DOUBLE FOURIER-SERIES FOR LIPSCHITZ FUNCTIONS
MORICZ, F
RHOADES, BE
[J]. JOURNAL OF APPROXIMATION THEORY, 1987, 50 (04) : 341 - 358
[39] APPROXIMATION BY (C, 1) AND ABEL-POISSON MEANS OF FOURIER SERIES ON HEXAGONAL DOMAINS
Guven, Ali
[J]. MATHEMATICAL INEQUALITIES & APPLICATIONS, 2013, 16 (01): : 175 - 191
[40] Fourier Series and Approximation on Hexagonal and Triangular Domains
Yuan Xu
[J]. Constructive Approximation, 2010, 31 : 115 - 138

← 1 2 3 4 5 →