Weighted Statistical Convergence of Bögel Continuous Functions by Positive Linear Operator

Fadime Dirik ()
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Fadime Dirik: Sinop University, Department of Mathematics

A chapter in Advances in Summability and Approximation Theory, 2018, pp 181-189 from Springer

Abstract: Abstract In the present work, we have introduced a weighted statistical approximation theorem for sequences of positive linear operators defined on the space of all real-valued B-continuous functions on a compact subset of $$ \mathbb {R} ^{2}= \mathbb {R} \times \mathbb {R} $$ . Furthermore, we display an application which shows that our new result is stronger than its classical version.

Keywords: Weighted uniform convergence; Double sequences; Statistical convergence; Korovkin-type approximation theorem; 40A35; 41A36 (search for similar items in EconPapers)
Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-981-13-3077-3_11

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DOI: 10.1007/978-981-13-3077-3_11

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