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Approximation in statistical sense to n-variate B-continuous functions by positive linear operators

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Mathematica Slovaca

Abstract

Our primary interest in the present paper is to prove a Korovkintype approximation theorem for sequences of positive linear operators defined on the space of all real valued n-variate B-continuous functions on a compact subset of the real n-dimensional space via statistical convergence. Also, we display an example such that our method of convergence is stronger than the usual convergence.

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  1. Department of Mathematics Faculty of Sciences and Arts, Sinop University, TR-57000, Sinop, Turkey

    Fadime Dirik & Kamil Demirci

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  1. Fadime Dirik
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  2. Kamil Demirci
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Correspondence to Fadime Dirik.

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Communicated by L’ubica Holá

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Dirik, F., Demirci, K. Approximation in statistical sense to n-variate B-continuous functions by positive linear operators. Math. Slovaca 60, 877–886 (2010). https://doi.org/10.2478/s12175-010-0054-2

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  • DOI: https://doi.org/10.2478/s12175-010-0054-2

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