On some approximation theorems for the Poisson integral for Hermite expansions

DOI10.1007/S10476-014-0204-9zbMath1313.41066OpenAlexW2201555991MaRDI QIDQ485517

Grażyna Krech

Publication date: 9 January 2015

Published in: Analysis Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10476-014-0204-9

zbMATH Keywords

rate of convergenceapproximationVoronovskaya-type theoremPoisson integral for Hermite expansions

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Series expansions (e.g., Taylor, Lidstone series, but not Fourier series) (41A58) Approximation by positive operators (41A36)

Related Items (2)

A Dunkl analogue of operators including two-variable Hermite polynomials ⋮ Dimensional crossover in the large-\(N\) limit

Cites Work

• Generalized Bernstein-Durrmeyer operators and the associated limit semigroup
• Conjugate expansions for Hermite functions
• DIRECT RESULTS FOR GENERALIZED FAVARD-KANTOROVICH AND FAVARD-DURRMEYER OPERATORS IN WEIGHTED FUNCTION SPACES
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