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A KOROVKIN TYPE APPROXIMATION THEOREM FOR DOUBLE SEQUENCES OF POSITIVE LINEAR OPERATORS OF TWO VARIABLES IN A-STATISTICAL SENSE

Kamil Demirci|Fadime Dirik
대한수학회 (The Korean Mathematical Society)|2010.07|대한수학회보 (Bulletin of the KMS)|제47권 제4호|pp. 825-837

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참고문헌

키워드

modulus of continuitypositive linear operatorKorovkin type approximation theoremA-statistical convergence for double sequencesMeyer-K¨onig and Zeller operator
주제분류수학

초록

In this paper, we obtain a Korovkin type approximation theorem for double sequences of positive linear operators of two variables from Hw (K) to C (K) via A-statistical convergence. Also, we construct an example such that our new approximation result works but its classical case does not work. Furthermore, we study the rates of A-statistical convergence by means of the modulus of continuity.

Abstract

In this paper, we obtain a Korovkin type approximation theorem for double sequences of positive linear operators of two variables from Hw (K) to C (K) via A-statistical convergence. Also, we construct an example such that our new approximation result works but its classical case does not work. Furthermore, we study the rates of A-statistical convergence by means of the modulus of continuity.

참고문헌 (17)

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