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Statistical lacunary summability and a Korovkin type approximation theorem

✍ Scribed by M. Mursaleen; A. Alotaibi

Publisher
Springer-Verlag
Year
2011
Tongue
German
Weight
137 KB
Volume
57
Category
Article
ISSN
0430-3202

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πŸ“œ SIMILAR VOLUMES

A-Statistical extension of the Korovkin
A-Statistical extension of the Korovkin type approximation theorem
✍ Esra Erkuş; Oktay Duman πŸ“‚ Article πŸ“… 2005 πŸ› Indian Academy of Sciences 🌐 English βš– 137 KB

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 function f by means of a sequence {Lnf } of positive linear operators.

Statistical summability and approximatio
Statistical summability and approximation by de la VallΓ©e-Poussin mean
✍ M. Mursaleen; A. Alotaibi πŸ“‚ Article πŸ“… 2011 πŸ› Elsevier Science 🌐 English βš– 212 KB

In this paper we define a new type of summability method via statistical convergence by using the density and (V , Ξ»)-summability. We further apply our new summability method to prove a Korovkin type approximation theorem.