Acta Mathematica Hungarica
Volume/Issue:
Volume 118: Issue 4
A converse result for approximation by a weighted Szász-Mirakyan operator
Authors:
B. Della Vecchia

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G. Mastroianni Università della Basilicata Dipartimento di Matematica Contrada Macchia Romana I-85100 Potenza Italy

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J. Szabados Alfréd Rényi Institute of Mathematics P.O.B. 127 H-1364 Budapest Hungary

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Pages:
319–336
Online Publication Date:
20 Sep 2007
Publication Date:
01 Mar 2008
Article Category:
Research Article
DOI:
https://doi.org/10.1007/s10474-007-6223-2
Keywords:
weighted modulus of smoothness; Szász-Mirakyan operator; Markovtype inequalities; 41A35; 41A25
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Abstract  

We prove that the weighted error of approximation by the Szász-Mirakyan-type operator introduced in [1] is equivalent to the modulus of smoothness of the function. This result is analogous to previous results for Bernstein-type operators obtained by Ditzian-Ivanov and Szabados.

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Cover Acta Mathematica Hungarica
Acta Mathematica Hungarica
Print ISSN:
0236-5294
Online ISSN:
1588-2632

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Acta Mathematica Hungarica
Language English
Size B5
Year of
Foundation		 1950
Volumes
per Year		 3
Issues
per Year		 6
Founder Magyar Tudományos Akadémia  
Founder's
Address		 H-1051 Budapest, Hungary, Széchenyi István tér 9.
Publisher Akadémiai Kiadó
Springer Nature Switzerland AG
Publisher's
Address		 H-1117 Budapest, Hungary 1516 Budapest, PO Box 245.
CH-6330 Cham, Switzerland Gewerbestrasse 11.
Responsible
Publisher		 Chief Executive Officer, Akadémiai Kiadó
ISSN 0236-5294 (Print)
ISSN 1588-2632 (Online)

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