Approximation of functions by some exponential operators of max-product type

Adrian Holhoş

doi:10.1556/012.2019.56.1.1412

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Studia Scientiarum Mathematicarum Hungarica

Volume/Issue:: Volume 56: Issue 1

Approximation of functions by some exponential operators of max-product type

Author:

Adrian Holhoş

Adrian Holhoş Technical University of Cluj-Napoca, Department of Mathematics, str. Memorandumului 28, RO-400114 Cluj-Napoca, Romania

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Adrian.Holhos@math.utcluj.ro

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Pages:: 94–102

Online Publication Date:: Mar 2019

Publication Date:: 01 Mar 2019

Article Category:: Journal Article

DOI:: https://doi.org/10.1556/012.2019.56.1.1412

Keywords:: weighted modulus of continuity; weighted approximation; operators of max-product type; Picard operators; Gauss-Weierstrass operators; Favard operators

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Abstract

In this paper we study the uniform approximation of functions by a generalization of the Picard and Gauss-Weierstrass operators of max-product type in exponential weighted spaces. We estimate the rate of approximation in terms of a suitable modulus of continuity. We extend and improve previous results.

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Studia Scientiarum Mathematicarum Hungarica

Print ISSN:: 0081-6906

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András STIPSICZ (Rényi Institute of Mathematics)
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Péter CSIKVÁRI (ELTE, Budapest)
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Andreas HOLMSEN (Korea Advanced Institute of Science and Technology)
Ron HOLZMAN (Technion, Haifa)
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Tibor JORDÁN (ELTE, Budapest)
Roy MESHULAM (Technion, Haifa)
Frédéric MEUNIER (École des Ponts ParisTech)
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Eran NEVO (Hebrew University of Jerusalem)
János PACH (Rényi Institute of Mathematics)
Péter Pál PACH (BME, Budapest)
Andrew SUK (University of California, San Diego)
Zoltán SZABÓ (Princeton University)
Martin TANCER (Charles University, Prague)
Gábor TARDOS (Rényi Institute of Mathematics)
Paul WOLLAN (University of Rome "La Sapienza")

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Studia Scientiarum Mathematicarum Hungarica
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