Approximation by multivariate generalized Poisson-Cauchy type singular integral operators

DOI10.1007/s13398-021-01003-9OpenAlexW3126240782MaRDI QIDQ2226210

George A. Anastassiou

Publication date: 11 February 2021

Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13398-021-01003-9

zbMATH Keywords

approximations by multivariate Poisson-Cauchy type singular integralmultivariate moduli of smoothness

Mathematics Subject Classification ID

Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) for real functions in one variable (26A15) Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Inequalities for sums, series and integrals (26D15) Approximation by operators (in particular, by integral operators) (41A35)

Cites Work

• A Voronovskaya type theorem for Poisson-Cauchy type singular operators
• Uniform convergence with rates for smooth Poisson-Cauchy-type singular integral operators
• Global smoothness and uniform convergence of smooth Poisson-Cauchy type singular operators
• Rate of convergence of non-positive generalized convolution type operators
• Approximation by Multivariate Singular Integrals
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