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2017 $L^p$-approximation by truncated max-product sampling operators of Kantorovich-type based on Fejér kernel
Lucian Coroianu, Sorin G. Gal
J. Integral Equations Applications 29(2): 349-364 (2017). DOI: 10.1216/JIE-2017-29-2-349

Abstract

By use of the so-called max-product method, in this paper we associate to the truncated linear sampling operators based on the Fej\'er-type kernel, nonlinear sampling operators of Kantorovich type, for which we prove convergence results in the $L^{p}$-norm, $1\le p\le +\infty $, with quantitative estimates.

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Lucian Coroianu. Sorin G. Gal. "$L^p$-approximation by truncated max-product sampling operators of Kantorovich-type based on Fejér kernel." J. Integral Equations Applications 29 (2) 349 - 364, 2017. https://doi.org/10.1216/JIE-2017-29-2-349

Information

Published: 2017
First available in Project Euclid: 17 June 2017

zbMATH: 1371.41016
MathSciNet: MR3663527
Digital Object Identifier: 10.1216/JIE-2017-29-2-349

Subjects:
Primary: 41A20, 41A25, 41A35, 94A12, 94A20

Rights: Copyright © 2017 Rocky Mountain Mathematics Consortium

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Vol.29 • No. 2 • 2017
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