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STATISTICAL A-SUMMABILITY OF DOUBLE SEQUENCES AND A KOROVKIN TYPE APPROXIMATION THEOREM

Mustafa Yildirim|Cemal Belen|Mohammad Mursaleen
대한수학회 (The Korean Mathematical Society)|2012.07|대한수학회보 (Bulletin of the KMS)|제49권 제4호|pp. 851-861

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참고문헌

키워드

statistical convergencestatistical A-summabilityKorovkin theoremdouble sequencepositive linear operators
주제분류수학

초록

In this paper, we de ne the notion of statistical A-summabil-ity for double sequences and nd its relation with A-statistical conver-gence. We apply our new method of summability to prove a Korovkin-type approximation theorem for a function of two variables. Furthermore,through an example, it is shown

Abstract

In this paper, we de ne the notion of statistical A-summabil-ity for double sequences and nd its relation with A-statistical conver-gence. We apply our new method of summability to prove a Korovkin-type approximation theorem for a function of two variables. Furthermore,through an example, it is shown

참고문헌 (19)

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  13. M. Mursaleen, "Statistical convergence of double sequences", J. Math. Anal. Appl, 288(1), pp.223~231 (2003)
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