Convergence processes of approximating operators

Year 2015, Volume: 44 Issue: 4, 813 - 821, 01.08.2015

Özlem Girgin Atlıhan

Abstract

The aim of this paper is to present Korovkin type theorems on approximation of continuous functions with the use of A−statistical convergence
and matrix summability method which includes both convergence and
almost convergence. Since statistical convergence and almost convergence methods are incompatible, we conclude that these methods can
be used alternatively to get some approximation results. 

Keywords

Matrix summability method, sequence of positive linear operators, the Korovkin approximation theorem, A-statistical convergence

References

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