Studia Scientiarum Mathematicarum Hungarica
Volume/Issue:
Volume 47: Issue 4
An asymptotic formula for a class of approximation processes of King’s type
Author: Octavian Agratini 1
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  • 1 Babeş-Bolyai University Faculty of Mathematics and Computer Science 400084 Cluj-Napoca Romania
DOI:
https://doi.org/10.1556/sscmath.2009.1142
Page Count:
435–444
Publication Date:
01 Dec 2010
Online Publication Date:
12 Nov 2009
Article Category:
Research Article
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In this paper we present a general class of linear positive operators of discrete type reproducing the third test function of Korovkin theorem. In a certain weighted space it forms an approximation process. A Voronovskaja-type result is established and particular cases are analyzed.

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Cover Studia Scientiarum Mathematicarum Hungarica
Studia Scientiarum Mathematicarum Hungarica
Print ISSN:
0081-6906
Online ISSN:
1588-2896
Keywords:
Primary 41A36; 41A60; Approximation process; statistical convergence; Voronovskajatype fromula

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