ON APPROXIMATION BY NORLUND AND RIESZ SUBMETHODS IN VARIABLE EXPONENT LEBESGUE SPACES

被引：10
|
作者：
Deger, Ugur [1 ]
机构：
[1] Mersin Univ, Fac Sci & Literature, Dept Math, TR-33343 Mersin, Turkey
来源：
COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS | 2018年 / 67卷 / 01期
关键词：
Trigonometric approximation; generalized Lebesgue space; Norlund submethod;
D O I：
10.1501/Commual_0000000829
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this study the results on the degree of approximation by the Norlund and the Riesz submethods of the partial sums of their Fourier series of functions where in the variable exponent Lebesgue spaces are given by weakening the monotonicity conditions of sequences in the submethods. Therefore the results given in Giiven and israfiloy (2010) are generalized according to both the monotonicity conditions and both the methods.
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页码：46 / 59
页数：14
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