Lp -general approximations by multivariate singular integral operators

DOI10.1515/DEMA-2013-0475zbMath1292.41008OpenAlexW1034992933MaRDI QIDQ5747140

George A. Anastassiou

Publication date: 11 February 2014

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

Full work available at URL: https://doi.org/10.1515/dema-2013-0475

zbMATH Keywords

rate of convergenceGauss-Weierstrassmultivariate modulus of smoothnessmultivariate Picardmultivariate singular integral operatorPoisson Cauchy and trigonometric singular operators

Mathematics Subject Classification ID

Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Inequalities for sums, series and integrals (26D15) Rate of convergence, degree of approximation (41A25) Approximation by operators (in particular, by integral operators) (41A35)

Cites Work

• Statistical convergence of double-complex Picard integral operators
• Statistical \(L_p\)-approximation by double Gauss-Weierstrass singular integral 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
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