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Statistical summability (C, 1) and a Korovkin type approximation theorem
Journal article   Open access  Peer reviewed

Statistical summability (C, 1) and a Korovkin type approximation theorem

Syed Abdul Mohiuddine, Abdullah Alotaibi and Mohammad Mursaleen
Journal of inequalities and applications, Vol.2012(1), pp.1-172
06/08/2012

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
The concept of statistical summability (C, 1) has recently been introduced by Moricz [Jour. Math. Anal. Appl. 275, 277-287 (2002)]. In this paper, we use this notion of summability to prove the Korovkin type approximation theorem by using the test functions 1, e(-x), e(-2x). We also give here the rate of statistical summability (C, 1) and apply the classical Baskakov operator to construct an example in support of our main result.
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https://doi.org/10.1186/1029-242X-2012-172View
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