Approximation by some combinations of the Poisson integrals for Hermite and Laguerre expansions
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Autor:
Krech, Grażyna
Wachnicki, Eugeniusz
Źródło: Annales Universitatis Paedagogicae Cracoviensis. 128, Studia Mathematica 12 (2013), s. [21]-29
Język: en
Słowa kluczowe:
Poisson integralHermite and Laguerre expansions
rate of convergence
Voronovskaya theorem
Data: 2013
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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.