- Turkish Journal of Mathematics
- Vol: 31 Issue: 3
- Higher Order Generalization of Positive Linear Operators Defined by a Class of Borel Measures
Higher Order Generalization of Positive Linear Operators Defined by a Class of Borel Measures
Authors : Oktay Duman
Pages : 333-339
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Publication Date : 9999-12-31
Article Type : Makaleler
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.Keywords : Statistical convergence, A-statistical convergence, positive linear operators, regular matrices, the elements of the Lipschitz class, Korovkin-type approximation theorem