On the rate of convergence of Ces`aro means of double Fourier series of functions of generalized bounded variation
https://doi.org/10.22405/2226-8383-2023-24-2-38-62
Abstract
In this paper, the rate of convergence of Ces`aro means of the double Fourier series of a 2𝜋-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.
About the Authors
Bera Rameshbhai Karshanbhai Bera
Maharaja Sayajirao University of Baroda
India
India
department of mathematics
Bhikha Lila Ghodadra
Maharaja Sayajirao University of Baroda
India
India
department of mathematics
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Review
For citations:
Bera B., Ghodadra B. On the rate of convergence of Ces`aro means of double Fourier series of functions of generalized bounded variation. Chebyshevskii Sbornik. 2023;24(2):38-62. (In Russ.) https://doi.org/10.22405/2226-8383-2023-24-2-38-62
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