Convergence of generalized sampling series in weighted spaces

DOI10.1515/dema-2022-0014OpenAlexW4285110383MaRDI QIDQ2148328

Tuncer Acar, Ali Aral, Gianluca Vinti, Metin Turgay, Danilo Costarelli, Osman Alagoz

Publication date: 23 June 2022

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

Full work available at URL: https://doi.org/10.1515/dema-2022-0014

zbMATH Keywords

weighted spacesVoronovskaja-type theoremweighted modulus of continuitygeneralized sampling operatorsquantitative order of approximation

Mathematics Subject Classification ID

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

Related Items (8)

Approximation by sampling Kantorovich series in weighted spaces of functions ⋮ A fast converging sampling operator ⋮ Approximation by Sampling Durrmeyer Operators in Weighted Space of Functions ⋮ Approximation results for Hadamard-type exponential sampling Kantorovich series ⋮ Bivariate generalized Kantorovich-type exponential sampling series ⋮ Integral Baskakov type operator with quadratic order of approximation ⋮ Approximation by truncated max-product sampling Kantorovich operators in \(L^p\) spaces ⋮ Generalized Kantorovich forms of exponential sampling series

Cites Work

• The new forms of Voronovskaya's theorem in weighted spaces
• Order of approximation for sampling Kantorovich operators
• Rate of approximation for multivariate sampling Kantorovich operators on some functions spaces
• Inverse results of approximation and the saturation order for the sampling Kantorovich series
• Voronovskaya type results for Bernstein-Chlodovsky operators preserving \(e^{-2 x}\)
• Saturation by the Fourier transform method for the sampling Kantorovich series based on bandlimited kernels
• On Bernstein-Chlodovsky operators preserving \(e^{-2x} \)
• On approximation of continuous and of analytic functions
• Reconstruction Algorithms in Irregular Sampling
• A sampling theorem for duration-limited functions with error estimates
• An Inverse Result of Approximation by Sampling Kantorovich Series
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