On the rate of convergence theorem for the alternate Poisson integrals for Hermite and Laguerre expansions

Grażyna Krech

Abstract


The aim of this paper is the study of a rate of convergence of alternate Poisson integrals for Hermite and Laguerre expansions. We state some estimates of the rate of convergence of these integrals using the classical moduli of continuity.

Mathematics Subject Classification


2000 Mathematics Subject Classification: Primary 41A25, 41A30, 41A36, Secondary 41C10.

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