On some approximation properties of Gauss-Weierstrass singular operators

DOI10.1007/S10958-022-05720-3OpenAlexW4210479851WikidataQ114225198 ScholiaQ114225198MaRDI QIDQ2146235

Olga Shvai, Kateryna Pozharska

Publication date: 16 June 2022

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-022-05720-3

zbMATH Keywords

continuity modulusapproximation ratedirect approximation theoremGauss-Weierstrass singular operator

Mathematics Subject Classification ID

Rate of convergence, degree of approximation (41A25) Approximation by operators (in particular, by integral operators) (41A35)

Related Items (1)

Approximation of the classes \({W}_{\beta, \infty}^R\) by generalized Abel-Poisson integrals

Cites Work

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• Some properties of operators of Abel-Poisson type
• On the theory of the boundary behavior of conjugate harmonic functions
• Approximation of the classes \(C_{\beta}^{\psi } H^\alpha\) by biharmonic Poisson integrals
• Stieltjes integrals in the theory of harmonic functions
• On the Hilbert boundary-value problem for Beltrami equations with singularities
• Asymptotics of approximation of functions by conjugate Poisson integrals

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