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JOURNALS // Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika // Archive

Izv. Vyssh. Uchebn. Zaved. Mat., 2025 Number 5, Pages 26–43 (Mi ivm10087)

Rate of convergence of double rational Fourier series of functions of generalized bounded variation

R. K. Bera, B. L. Ghodadra

The Maharaja Sayajirao University of Baroda, Vadodara (Gujarat), 390002 India

Abstract: The rate of convergence of double rational Fourier series and, in particular, double trigonometric Fourier series of functions of generalized bounded variation is estimated.

Keywords: double Fourier series, double rational Fourier series, pointwise convergence, rate of convergence, $(p,q)$-$(\Lambda,\Lambda')$-bounded variation.

UDC: 517

Received: 27.03.2024
Revised: 27.03.2024
Accepted: 26.09.2024

DOI: 10.26907/0021-3446-2025-5-26-43



© Steklov Math. Inst. of RAS, 2025