A note on rate of convergence of double singular integral operators

DOI10.1186/1687-1847-2014-287zbMath1347.41024OpenAlexW2133366645WikidataQ59320047 ScholiaQ59320047MaRDI QIDQ307327

Mine Menekse Yilmaz, Gumrah Uysal, Ertan Ibikli

Publication date: 1 September 2016

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-1847-2014-287

zbMATH Keywords

rate of convergencepointwise convergence\(p\)-generalized Lebesgue pointradial kernel

Mathematics Subject Classification ID

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

Related Items (3)

Approximation properties of the sampling Kantorovich operators: regularization, saturation, inverse results and Favard classes in \(L^p\)-spaces ⋮ Weighted approximation by double singular integral operators with radially defined kernels ⋮ A study on pointwise approximation by double singular integral operators

Cites Work

• On singular integrals depending on three parameters
• On Convergence of Singular Integral Operators with Radial Kernels
• Nonlinear integral operators with homogeneous kernels: pointwise approximation theorems
• On pointwise convergence of linear integral operators with homogeneous kernels
• A Course in Multivariable Calculus and Analysis
• Convergence and rate of convergence by nonlinear singular integral operators depending on two parameters
• On double integrals and Fourier series
• Fourier Transforms. (AM-19)
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