Geodesic
On the rate of convergence of Ces\`aro means of double Fourier series of functions of generalized bounded variation
Čebyševskij sbornik, Tome 24 (2023) no. 2, pp. 38-62

Voir la notice de l'article provenant de la source Math-Net.Ru

In this paper, the rate of convergence of Cesàro means of the double Fourier series of a $2\pi$-periodic function in each variable and of generalized bounded variation, is estimated. The result obtained is a generalization of a result of S. M. Mazhar for a single Fourier series and of our earlier result for a function of two variables.
Keywords: double Fourier series, generalized bounded variation, pointwise convergence, rate of convergence, Cesàro mean. 
@article{CHEB_2023_24_2_a2,
     author = {R. K. Bera and B. L. Ghodadra},
     title = {On the rate of convergence of {Ces\`aro} means of double {Fourier} series of functions of generalized bounded variation},
     journal = {\v{C}eby\v{s}evskij sbornik},
     pages = {38--62},
     publisher = {mathdoc},
     volume = {24},
     number = {2},
     year = {2023},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CHEB_2023_24_2_a2/}
}
TY  - JOUR
AU  - R. K. Bera
AU  - B. L. Ghodadra
TI  - On the rate of convergence of Ces\`aro means of double Fourier series of functions of generalized bounded variation
JO  - Čebyševskij sbornik
PY  - 2023
SP  - 38
EP  - 62
VL  - 24
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/CHEB_2023_24_2_a2/
LA  - en
ID  - CHEB_2023_24_2_a2
ER  - 
%0 Journal Article
%A R. K. Bera
%A B. L. Ghodadra
%T On the rate of convergence of Ces\`aro means of double Fourier series of functions of generalized bounded variation
%J Čebyševskij sbornik
%D 2023
%P 38-62
%V 24
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/CHEB_2023_24_2_a2/
%G en
%F CHEB_2023_24_2_a2
R. K. Bera; B. L. Ghodadra. On the rate of convergence of Ces\`aro means of double Fourier series of functions of generalized bounded variation. Čebyševskij sbornik, Tome 24 (2023) no. 2, pp. 38-62. http://geodesic.mathdoc.fr/item/CHEB_2023_24_2_a2/