On convergence of rational Fourier series of functions of bounded variations

2013 ◽  
Vol 43 (6) ◽  
pp. 541-550 ◽  
Author(s):  
Tao QIAN ◽  
LiHui TAN
Keyword(s):  
Fourier Series ◽  
Series Of Functions ◽  
Functions Of Bounded Variations

A SUMMABILITY METHOD FOR FOURIER SERIES OF FUNCTIONS OF GENERALIZED BOUNDED VARIATION

Analysis ◽  
1997 ◽  
Vol 17 (2-3) ◽  
pp. 287-300
Author(s):  
LAWRENCE A. D'ANTONIO ◽  
DANIEL WATERMAN
Keyword(s):  
Fourier Series ◽  
Bounded Variation ◽  
Summability Method ◽  
Series Of Functions

Uniform and 𝐿-Convergence of Logarithmic Means of Double Walsh–Fourier Series

2005 ◽  
Vol 12 (1) ◽  
pp. 75-88
Author(s):  
György Gát ◽  
Ushangi Goginava
Keyword(s):  
Fourier Series ◽  
Function Space ◽  
Modulus Of Continuity ◽  
Sufficient Conditions ◽  
Necessary And Sufficient Conditions ◽  
Two Dimensional ◽  
Logarithmic Means ◽  
Convergence And Divergence ◽  
Necessary And Sufficient ◽  
Series Of Functions

Abstract We discuss some convergence and divergence properties of twodimensional (Nörlund) logarithmic means of two-dimensional Walsh–Fourier series of functions both in the uniform and in the Lebesgue norm. We give necessary and sufficient conditions for the convergence regarding the modulus of continuity of the function, and also the function space.

A NOTE ON FOURIER SERIES OF FUNCTIONS BELONGING TO

2020 ◽  
Vol 123 (2) ◽  
pp. 163-167
Author(s):  
Shpetim Rexhepi ◽  
Halim Halimi ◽  
Samet Kera ◽  
Egzona Iseni
Keyword(s):  
Fourier Series ◽  
Series Of Functions
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