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.

引用

页码：46 / 59

页数：14

共 50 条

[41] On Compactness of Operators in Variable Exponent Lebesgue Spaces
Samko, Stefan
TOPICS IN OPERATOR THEORY: OPERATORS, MATRICES AND ANALYTIC FUNCTIONS, VOL 1, 2010, 202 : 497 - 508
[42] Lebesgue spaces with variable exponent on a probability space
Aoyama, Hiroyuki
HIROSHIMA MATHEMATICAL JOURNAL, 2009, 39 (02) : 207 - 216
[43] Notes on commutator on the variable exponent Lebesgue spaces
Dinghuai Wang
Czechoslovak Mathematical Journal, 2019, 69 : 1029 - 1037
[44] NOTES ON COMMUTATOR ON THE VARIABLE EXPONENT LEBESGUE SPACES
Wang, Dinghuai
CZECHOSLOVAK MATHEMATICAL JOURNAL, 2019, 69 (04) : 1029 - 1037
[45] Interpolation theorems for variable exponent Lebesgue spaces
Kopaliani, Tengiz
JOURNAL OF FUNCTIONAL ANALYSIS, 2009, 257 (11) : 3541 - 3551
[46] Local grand variable exponent Lebesgue spaces
Rafeiro, Humberto
Samko, Stefan
ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN, 2023, 42 (1-2): : 1 - 15
[47] Composition operators on variable exponent Lebesgue spaces
Bajaj, D. S.
Datt, G.
ANALYSIS MATHEMATICA, 2024, 50 (02) : 345 - 366
[48] The refined direct and converse inequalities of trigonometric approximation in weighted variable exponent Lebesgue spaces
Akgun, Ramazan
Kokilashvili, Vakhtang
GEORGIAN MATHEMATICAL JOURNAL, 2011, 18 (03) : 399 - 423
[49] Approximation by trigonometric polynomials of functions having (α, ψ)- derivatives in weighted variable exponent Lebesgue spaces
Akgün R.
Kokilashvili V.
Journal of Mathematical Sciences, 2012, 184 (4) : 371 - 382
[50] Approximation by integral functions of finite degree in variable exponent Lebesgue spaces on the real axis
Akgun, Ramazan
Ghorbanalizadeh, Arash
TURKISH JOURNAL OF MATHEMATICS, 2018, 42 (04) : 1887 - 1903

← 1 2 3 4 5 →