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Approximation Properties For Modified Kantorovich-Type Operators
Müzeyyen Özhavzalı, Ali Olgun
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DOI:10.17265/2159-5291/2015.01.002
Kırıkkale University, Faculty of Art&Science, Mathematics Department, 71650 Kırıkkale, Turkey.
We introduce a modification of Kantorovich-type operators in polynomial weighted spaces of functions. Then we study some approximation properties of these operators. We give some inequalities for these operators by means of the weighted modulus continuity and also obtain a Voronovskaya-type theorem. Furthermore, in our paper show that the operators give better degree of approximation of functions belonging to weighted spaces than classical Szász- Kantorovich operators.
Kantorovich-type operators, modules of continuity, weighted spaces, Voronovskaya theorem.
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