Properties of rational Fourier series and generalized Wiener class

被引：0

作者：

Khachar, Hardeepbhai J. ^{[2
]}

Vyas, Rajendra G. ^{[1
]}

机构：

[1] Maharaja Sayajirao Univ Baroda, Dept Math, Fac Sci, Vadodara 390002, Gujarat, India

[2] Maharaja Sayajirao Univ Baroda, Dept Math, Fac Sci, Vadodara 390002, Gujarat, India

来源：

GEORGIAN MATHEMATICAL JOURNAL | 2023年 / 30卷 / 02期

关键词：

Fourier series; rational Fourier series; Akhobadze variation; generalized bounded variation;

D O I：

10.1515/gmj-2022-2206

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The order of rational Fourier coefficients for functions of Akhobadze variation, B Lambda(p(n)up arrow infinity, phi,Tau($) over bar), is estimated. Extending the definition of Akhobadze class for multiple variables, the result of one variable is extended for multiple variables.

引用

页码：247 / 253

页数：7

共 50 条

[1] Order of multiple rational Fourier coefficients for functions of generalized Wiener class
Khachar, Hardeepbhai J.
Vyas, Rajendra G.
PUBLICATIONES MATHEMATICAE DEBRECEN, 2023, 103 (3-4): : 473 - 487
[2] On multiple Fourier coefficients of a function of the generalized Wiener class
Vyas, Rajendra G.
GEORGIAN MATHEMATICAL JOURNAL, 2015, 22 (03) : 435 - 439
[3] CONVERGENCE OF FOURIER-SERIES OF A FUNCTION ON GENERALIZED WIENER CLASS BV(P(N)UP INFINITY
KITA, H
ACTA MATHEMATICA HUNGARICA, 1991, 57 (3-4) : 233 - 243
[4] ON CONVERGENCE OF THE CONJUGATE FOURIER-SERIES OF A FUNCTION OF WIENER CLASS
SIDDIQI, RN
BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 1989, 39 (03) : 335 - 338
[5] Rate of convergence for rational and conjugate rational Fourier series of functions of generalized bounded variation
Khachar, Hardeepbhai J.
Vyas, Rajendra G.
ACTA ET COMMENTATIONES UNIVERSITATIS TARTUENSIS DE MATHEMATICA, 2022, 26 (02): : 233 - 241
[6] Generalized convolution and generalized Fourier-Wiener transform on abstract Wiener space
Im, Man Kyu
INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 2010, 21 (11) : 859 - 865
[7] Wiener amalgams and summability of Fourier series
Weisz, Ferenc
ANNALES MATHEMATICAE ET INFORMATICAE, 2005, 32 : 167 - 186
[8] Wiener amalgams and pointwise summability of Fourier transforms and Fourier series
Feichtinger, Hans G.
Weisz, Ferenc
MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 2006, 140 : 509 - 536
[9] Relation between Fourier series and Wiener algebras
Trigub R.M.
Journal of Mathematical Sciences, 2021, 256 (6) : 785 - 802
[10] Approximation properties of trigonometric Fourier series in generalized variation classes
Akhobadze, Teimuraz
Zviadadze, Shalva
ADVANCES IN OPERATOR THEORY, 2025, 10 (01)

← 1 2 3 4 5 →