This article is cited in 5 papers

Some estimates for the error in mixed Fourier–Bessel expansions of functions of two variables

V. A. Abilov^a, M. K. Kerimov<sup>b

a</sup> Dagestan State University, ul. Gadzhieva 43a, Makhachkala, 367025, Russia
^b Dorodnitsyn Computing Center, Russian Academy of Sciences, ul. Vavilova 40, Moscow, 119991, Russia

Abstract: Some issues concerning expansions of functions of two variables in mixed Fourier–Bessel series are considered. In particular, the rate of their convergence in the classes of functions characterized by generalized moduli of continuity are estimated, and estimates of the remainder terms are obtained.

Key words: mixed Fourier–Bessel series, estimates of remainder terms, widths, absolute convergence conditions for Fourier series.

UDC: 519.651

Received: 14.04.2006

 English version: Computational Mathematics and Mathematical Physics, 2006, 46:9, 1465–1486

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