Generalized Kantorovich forms of exponential sampling series

DOI10.1007/S13324-022-00667-9zbMath1497.41002OpenAlexW4220997341WikidataQ115601041 ScholiaQ115601041MaRDI QIDQ2116785

Ali Aral, Sadettin Kursun, Tuncer Acar

Publication date: 18 March 2022

Published in: Analysis and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13324-022-00667-9

zbMATH Keywords

asymptotic formulapointwise convergenceKantorovich operatorsexponential sampling seriesGauss-Weierstrass kernelMellin differential operator

Mathematics Subject Classification ID

Approximation by polynomials (41A10)

Related Items (15)

A fast converging sampling operator ⋮ Approximation by Sampling Durrmeyer Operators in Weighted Space of Functions ⋮ Approximation results for Hadamard-type exponential sampling Kantorovich series ⋮ Convergence of semi-discrete exponential sampling operators in Mellin-Lebesgue spaces ⋮ Semi‐discrete operators in multivariate setting: Convergence properties and applications ⋮ On a new approach in the space of measurable functions ⋮ Bivariate generalized Kantorovich-type exponential sampling series ⋮ On the generalized Mellin integral operators ⋮ Integral Baskakov type operator with quadratic order of approximation ⋮ On the Modification of Mellin Convolution Operator and Its Associated Information Potential ⋮ On bivariate Kantorovich exponential sampling series ⋮ Approximation by multivariate max-product Kantorovich exponential sampling operators ⋮ Random Sampling of Mellin Band-Limited Signals ⋮ Order of approximation for exponential sampling type neural network operators ⋮ Approximation results in Sobolev and fractional Sobolev spaces by sampling Kantorovich operators

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