Linear methods of summing Fourier series and approximation in weighted Orlicz spaces

被引：6
|
作者：
Jafarov, Sadulla Z. [1 ,2 ]
机构：
[1] Mus Alparslan Univ, Fac Educ, Dept Math & Sci Educ, Mus, Turkey
[2] Natl Acad Sci Azerbaijan, Inst Math & Mech, Baku, Azerbaijan
来源：
TURKISH JOURNAL OF MATHEMATICS | 2018年 / 42卷 / 06期
关键词：
Boyd indices; weighted Orlicz space; Muckenhoupt weight; modulus of smoothness; Zygmund mean; Abel-Poisson mean; PIECEWISE CONTINUOUS COEFFICIENTS; SINGULAR INTEGRAL-OPERATORS; POLYNOMIALS;
D O I：
10.3906/mat-1804-31
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In the present work, we investigate estimates of the deviations of the periodic functions from the linear operators constructed on the basis of its Fourier series in reflexive weighted Orlicz spaces with Muckenhoupt weights. In particular, the orders of approximation of Zygmund and Abel-Poisson means of Fourier trigonometric series were estimated by the k - th modulus of smoothness in reflexive weighted Orlicz spaces with Muckenhoupt weights.
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页码：2916 / 2925
页数：10
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