Studia Scientiarum Mathematicarum Hungarica
Volume/Issue:
Volume 41: Issue 4
On positive operators involving a certain class of generating functions
Authors: O. Doğru 1 , M. A. Özarslan 1 , and F. Taşdelen 1
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  • 1 Ankara University, Tandogan 06100, Ankara, Turkey
DOI:
https://doi.org/10.1556/sscmath.41.2004.4.5
Page Count:
415–429
Publication Date:
01 Dec 2004
Online Publication Date:
Dec 2004
Article Category:
Research Article
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In this paper we introduced the general sequence of linear positive operators via generating functions. Approximation properties of these operators are obtained with the help of the Korovkin Theorem. The order of convergence of these operators computed by means of modulus of continuity Peetre’s K-furictiorial and the elements of the usual Lipschitz class. Also we introduce the r-th order generalization of these operators and we evaluate this generalization by the operators defined in this paper. Finally we give some applications to differential equations.

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Cover Studia Scientiarum Mathematicarum Hungarica
Studia Scientiarum Mathematicarum Hungarica
Print ISSN:
0081-6906
Online ISSN:
1588-2896
Keywords:
Primary 41A25, 41A36; Positive linear operators; the Korovkin theorem; the Meyer-König and Zeller operators; Lipschitz class; K-furictiorial of Peetre; modulus of continuity

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