Uniform convergence with rates for smooth Poisson-Cauchy-type singular integral operators

DOI10.1016/j.mcm.2009.10.001zbMath1185.45018OpenAlexW1968149224MaRDI QIDQ970065

Razvan A. Mezei, George A. Anastassiou

Publication date: 8 May 2010

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mcm.2009.10.001

zbMATH Keywords

modulus of smoothnessbest constantsharp inequalityPoisson-Cauchy-type singular integral

Mathematics Subject Classification ID

Integral operators (45P05)

Related Items (5)

Asymptotic formulae for linear combinations of generalized sampling operators ⋮ Quantitative approximation by fractional smooth Poisson Cauchy singular operators ⋮ General theory of global smoothness and approximation by smooth singular operators ⋮ Approximation by multivariate generalized Poisson-Cauchy type singular integral operators ⋮ Approximation properties for linear combinations of moment type operators

Cites Work

• A Voronovskaya type theorem for Poisson-Cauchy type singular operators
• Global smoothness and uniform convergence of smooth Poisson-Cauchy type singular operators
• Rate of convergence of non-positive generalized convolution type operators
• Sharp inequalities for convolution-type operators
• On the Rate of Convergence of Singular Integrals for Hölder Continuous Functions
• Remark on the Degree of Approximation of Continuous Functions by Singular Integrals
• Convergence of generalized singular integrals to the unit, univariate case
• The General Moment Problem, A Geometric Approach
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