Approximation by some combinations of the Poisson integrals for Hermite and Laguerre expansions

dc.contributor.author	Krech, Grażyna	pl
dc.contributor.author	Wachnicki, Eugeniusz	pl
dc.date.accessioned	2025-04-03T06:08:37Z
dc.date.available	2025-04-03T06:08:37Z
dc.date.issued	2013
dc.identifier.citation	Annales Universitatis Paedagogicae Cracoviensis. 128, Studia Mathematica 12 (2013), s. [21]-29	pl
dc.identifier.uri	http://hdl.handle.net/11716/13660
dc.description.abstract	The aim of this paper is the study of a rate of convergence of some combinations of the Poisson integrals for Hermite and Laguerre expansions. We are able to achieve faster convergence for our modified operators over the Poisson integrals. We prove also the Voronovskaya type theorem for these new operators.	en
dc.language.iso	en	pl
dc.subject	Poisson integral	en
dc.subject	Hermite and Laguerre expansions	en
dc.subject	rate of convergence	en
dc.subject	Voronovskaya theorem	en
dc.title	Approximation by some combinations of the Poisson integrals for Hermite and Laguerre expansions	en
dc.type	Article	pl