Generalized localization and convergence tests for double trigonometric Fourier series of functions fromL p ,p>1

Analysis Mathematica ◽

10.1007/bf02102722 ◽

1981 ◽

Vol 7 (1) ◽

pp. 3-36 ◽

Author(s):

I. L. Blošanskii

Keyword(s):

Fourier Series ◽

Trigonometric Fourier Series ◽

Series Of Functions

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Generalized localization for the double trigonometric Fourier series and the Walsh-Fourier series of functions in $ L\log^+L\log^+\log^+L$

Sbornik Mathematics ◽

10.1070/sm1998v189n05abeh000318 ◽

1998 ◽

Vol 189 (5) ◽

pp. 657-682

Author(s):

S K Bloshanskaya ◽

I L Bloshanskii ◽

T Y Roslova

Keyword(s):

Fourier Series ◽

Trigonometric Fourier Series ◽

Series Of Functions ◽

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On degree of approximation of Fourier series of functions in Besov space using Norlund meanIn the present article, we have established a result on degree of approximation of function in the Besov space by (N; rn)- mean of Trigonometric Fourier series

Proyecciones (Antofagasta) ◽

10.22199/issn.0717-6279-4092 ◽

2021 ◽

Author(s):

Birupakhya Prasad Padhy ◽

Anwesha Mishra ◽

U. K. Misra

Keyword(s):

Fourier Series ◽

Present Article ◽

Besov Space ◽

Degree Of Approximation ◽

Trigonometric Fourier Series ◽

Series Of Functions ◽

Approximation Of Function

In the present article, we have established a result on degree of approximation of function in the Besov space by (N; rn)- mean of Trigonometric Fourier series

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Almost Everywhere Convergence of Multiple Trigonometric Fourier Series of Functions from Sobolev Classes

Mathematical Notes ◽

10.1134/s0001434621010193 ◽

2021 ◽

Vol 109 (1-2) ◽

pp. 157-162

Author(s):

R. R. Ashurov

Keyword(s):

Fourier Series ◽

Trigonometric Fourier Series ◽

Sobolev Classes ◽

Almost Everywhere Convergence ◽

Multiple Trigonometric Fourier Series ◽

Almost Everywhere ◽

Series Of Functions

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Convergence of Trigonometric Fourier Series of Functions with a Constraint on the Fractality of Their Graphs

Proceedings of the Steklov Institute of Mathematics ◽

10.1134/s008154382002008x ◽

2020 ◽

Vol 308 (S1) ◽

pp. 106-111

Author(s):

M. L. Gridnev

Keyword(s):

Fourier Series ◽

Trigonometric Fourier Series ◽

Series Of Functions

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On the convergence of Cesàro means of negative order of double trigonometric Fourier series of functions of bounded partial generalized variation

Acta Scientiarum Mathematicarum ◽

10.1007/bf03643928 ◽

2011 ◽

Vol 77 (3-4) ◽

pp. 451-471

Author(s):

Ushangi Goginava ◽

Artur Sahakian

Keyword(s):

Fourier Series ◽

Trigonometric Fourier Series ◽

Cesàro Means ◽

Cesaro Means ◽

Negative Order ◽

Cesáro Means ◽

Generalized Variation ◽

Series Of Functions

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TWO CRITERIA FOR WEAK GENERALIZED LOCALIZATION FOR MULTIPLE TRIGONOMETRIC FOURIER SERIES OF FUNCTIONS IN $L_p$, $p \ge 1$

Mathematics of the USSR-Izvestiya ◽

10.1070/im1986v026n02abeh001140 ◽

1986 ◽

Vol 26 (2) ◽

pp. 223-262

Author(s):

I L Bloshanskiĭ

Keyword(s):

Fourier Series ◽

Trigonometric Fourier Series ◽

Multiple Trigonometric Fourier Series ◽

Series Of Functions

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Conditions for the localization of partial sums of S. M. Nikol'skii's class of multiple trigonometric Fourier series

Mathematical Notes ◽

10.1007/bf01146936 ◽

1970 ◽

Vol 8 (5) ◽

pp. 803-809

Author(s):

V. A. Il'in

Keyword(s):

Fourier Series ◽

Trigonometric Fourier Series ◽

Partial Sums ◽

Multiple Trigonometric Fourier Series

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

Analysis ◽

10.1524/anly.1997.17.23.287 ◽

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

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APPLICATION OF CESÀRO SUMMABILITY METHODS OF NEGATIVE ORDER TO TRIGONOMETRIC FOURIER SERIES OF SUMMABLE AND SQUARE SUMMABLE FUNCTIONS

Mathematics of the USSR-Sbornik ◽

10.1070/sm1974v022n04abeh001703 ◽

1974 ◽

Vol 22 (4) ◽

pp. 497-515 ◽

Author(s):

D E Men'šov

Keyword(s):

Fourier Series ◽

Trigonometric Fourier Series ◽

Cesàro Summability ◽

Summability Methods ◽

Cesaro Summability ◽

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The study of the fourier series of functions defined on moran fractals

Acta Mathematicae Applicatae Sinica English Series ◽

10.1007/bf02015137 ◽

1997 ◽

Vol 13 (2) ◽

pp. 158-166

Author(s):

Jinrong Liang ◽

Fuyao Ren

Keyword(s):

Fourier Series ◽

Series Of Functions

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