A-Statistical extension of the Korovkin type approximation theorem

In this paper, using the concept ofA-statistical convergence which is a regular (non-matrix) summability method, we obtain a general Korovkin type approximation theorem which concerns the problem of approximating a functionf by means of a sequenceLnf of positive linear operators.

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Bibliographic Details
Published in:Proceedings of the Indian Academy of Sciences. Mathematical sciences 2005-11, Vol.115 (4), p.499-508
Main Authors: Erkuş, Esra, Duman, Oktay
Format: Article
Language:English
Subjects:
Approximation
Linear operators
Mathematical analysis
Theorems
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Summary:In this paper, using the concept ofA-statistical convergence which is a regular (non-matrix) summability method, we obtain a general Korovkin type approximation theorem which concerns the problem of approximating a functionf by means of a sequenceLnf of positive linear operators.
ISSN:0253-4142
0973-7685
DOI:10.1007/BF02829812