Extension of saturation theorems for the sampling Kantorovich operators
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Publication:2313019
DOI10.1007/s11785-018-0852-zzbMath1416.41017OpenAlexW2897320060MaRDI QIDQ2313019
Gianluca Vinti, Danilo Costarelli, Benedetta Bartoccini
Publication date: 18 July 2019
Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11785-018-0852-z
order of approximationinverse resultsgeneralized sampling operatorssaturation ordersampling Kantorovich series
Linear operator approximation theory (47A58) Interpolation in approximation theory (41A05) Rate of convergence, degree of approximation (41A25) Approximation by other special function classes (41A30)
Related Items (8)
A strong converse inequality for generalized sampling operators ⋮ A characterization of the absolute continuity in terms of convergence in variation for the sampling Kantorovich operators ⋮ A characterization of the rate of the simultaneous approximation by generalized sampling operators and their Kantorovich modification ⋮ Linear prediction and simultaneous approximation by \(m\)-th order Kantorovich type sampling series ⋮ A Quantitative Estimate for the Sampling Kantorovich Series in Terms of the Modulus of Continuity in Orlicz Spaces ⋮ Inverse results of approximation and the saturation order for the sampling Kantorovich series ⋮ Inverse approximation and GBS of bivariate Kantorovich type sampling series ⋮ Direct and inverse results for Kantorovich type exponential sampling series
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