This article is cited in 10 papers

Some issues concerning approximations of functions by Fourier–Bessel sums

V. A. Abilov^a, F. V. Abilova^b, M. K. Kerimov<sup>c

a</sup> Daghestan State University
^b Daghestan State Technical University
^c Dorodnitsyn Computing Centre of the Russian Academy of Sciences, Moscow

Abstract: Some issues concerning the approximation of one-variable functions from the class $\mathbb{L}_2$ by $n$th-order partial sums of Fourier–Bessel series are studied. Several theorems are proved that estimate the best approximation of a function characterized by the generalized modulus of continuity.

Key words: partial sums of Fourier–Bessel series, approximation of functions from $\mathbb{L}_2$ by Fourier–Bessel series, averaging operator, generalized modulus of continuity, estimate of approximation.

UDC: 519.651

Received: 11.03.2013

DOI: 10.7868/S0044466913070028

 English version: Computational Mathematics and Mathematical Physics, 2013, 53:7, 867–873

Bibliographic databases:

• 
• 
• 
• 
•