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Dergiler / Turkish Journal of Mathematics / 2007 / Cilt: 31 - Sayı: 3

Higher Order Generalization of Positive Linear Operators Defined by a Class of Borel Measures

Oktay DUMAN

Sayfa
333–339
DOI
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Özet

In the present paper, we introduce a sequence of linear operators, which is a higher order generalization of positive linear operators defined by a class of Borel measures studied in [2]. Then, using the concept of A-statistical convergence we obtain some approximation results which are stronger than the aspects of the classical approximation theory.

Abstract

In the present paper, we introduce a sequence of linear operators, which is a higher order generalization of positive linear operators defined by a class of Borel measures studied in [2]. Then, using the concept of A-statistical convergence we obtain some approximation results which are stronger than the aspects of the classical approximation theory.

Anahtar kelimeler: Statistical convergence, A-statistical convergence, positive linear operators, regular matrices, the elements of the Lipschitz class, Korovkin-type approximation theorem