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

DOI10.1006/JATH.2001.3663zbMath1006.41009OpenAlexW2065842071MaRDI QIDQ696880

Grazyna Toczek, Eugeniusz Wachnicki

Publication date: 12 September 2002

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jath.2001.3663

zbMATH Keywords

Laguerre polynomialPoisson integralHermite polynomialVoronovskaya theoremapproximation by operators

Mathematics Subject Classification ID

Approximation by operators (in particular, by integral operators) (41A35)

Related Items (2)

An asymptotic development of the Poisson integral for Laguerre polynomial expansions ⋮ A Dunkl analogue of operators including two-variable Hermite polynomials

Cites Work

• Generalized Bernstein-Durrmeyer operators and the associated limit semigroup
• Poisson Integrals for Hermite and Laguerre Expansions
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