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

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

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

Keywords:

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

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TOBB Economicsand Technology University, Faculty of Artsand Sciences, Department of Mathematics, S¨o˘g¨ut¨oz¨u 06530, Ankara-TURKEY e-mail: oduman@etu.edu.tr