A Voronovskaya type theorem for Poisson-Cauchy type singular operators

DOI10.1016/J.JMAA.2010.01.015zbMath1195.41018OpenAlexW1972483568MaRDI QIDQ961050

Razvan A. Mezei, George A. Anastassiou

Publication date: 29 March 2010

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2010.01.015

zbMATH Keywords

rate of convergenceVoronovskaya type theoremsmooth Poisson-Cauchy type singular integral

Mathematics Subject Classification ID

Approximation by operators (in particular, by integral operators) (41A35) Approximation by other special function classes (41A30)

Related Items (7)

The complete asymptotic evaluation for Mellin convolution operators ⋮ On Voronovskaja formula for linear combinations of Mellin-Gauss-Weierstrass operators ⋮ General theory of global smoothness and approximation by smooth singular operators ⋮ A note on the Voronovskaja theorem for Mellin-Fejér convolution operators ⋮ Approximation by multivariate generalized Poisson-Cauchy type singular integral operators ⋮ On the asymptotic behaviour of linear combinations of Mellin‐Picard type operators ⋮ Uniform convergence with rates for smooth Poisson-Cauchy-type singular integral operators

Cites Work

• Global smoothness and uniform convergence of smooth Picard singular operators
• Global smoothness and uniform convergence of smooth Gauss-Weierstrass singular operators
• Global smoothness and uniform convergence of smooth Poisson-Cauchy type singular operators
• Uniform convergence with rates of smooth Gauss–Weierstrass singular integral operators
• On modified Picard and Gauss—Weierstrass singular integrals
• Partial shape preserving approximation by bivariate Hermite-Fejér polynomials
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