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Regular matrix transformations and rates of convergence of positive linear operators

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Abstract

This paper investigates the effects of matrix summability methods on the A-statistical approximation of sequences of positive linear operators defined on the space of all 2π-periodic and continuous functions on the whole real axis. The two main tools used in this paper are A-statistical convergence and the modulus of continuity.

Keywords: Regular infinite matrices, A-statistical convergence, rates of A-statistical convergence, positive linear operators, the Korovkin theorem, modulus of continuity.

Mathematics Subject Classification (2000): 41A25, 41A36

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  1. TOBB Economics and Technology University, Faculty of Arts and Sciences, Department of Mathematics, Söğütözü, 06530 Ankara, Turkey

    Oktay Duman

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  1. Oktay Duman
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Duman, O. Regular matrix transformations and rates of convergence of positive linear operators. Calcolo 44, 159–164 (2007). https://doi.org/10.1007/s10092-007-0134-z

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  • DOI: https://doi.org/10.1007/s10092-007-0134-z

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