V. A. Abilov, F. V. Abilova, M. V. Abilov, “Some inverse theorems for approximation of functions by Fourier–Laguerre sums”, Izv. Vyssh. Uchebn. Zaved. Mat., 2010, Number 9,Pages <nobr>3

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Some inverse theorems for approximation of functions by Fourier–Laguerre sums

V. A. Abilov^a, F. V. Abilova^b, M. V. Abilov^b

^a Chair of Theory of Functions and Functional Analysis, Dagestan State Uiversity, Makhachkala, Russia
^b Chair of Higher Mathematics, Dagestan State Technical University, Makhachkala, Russia

Abstract: In this paper we prove two inverse theorems of the approximation of functions of two variables by Fourier–Laguerre sums in a space with a certain weight.

Keywords: Fourier–Laguerre transform, generalized shift operator, generalized derivatives.

UDC: 517.518

Received: 11.12.2008