On Approximation Properties of Two Variables of Modified Kantorovich-Type Operators

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Communications Faculty of Sciences University Ankara Series A1 Mathematics and Statistics
Volume:68 Issue:1
On Approximation Properties of Two Variables of Modified Kantorovich-Type Operators

On Approximation Properties of Two Variables of Modified Kantorovich-Type Operators

Authors : Müzeyyen ÖZHAVZALI, Ali OLGUN

Pages : 187-196

Doi:10.31801/cfsuasmas.443703

View : 12 | Download : 9

Publication Date : 2019-02-01

Article Type : Research Paper

Abstract :In the present paper, we introduce certain modification of Szász-Mirakyan-Kantorovich-type operators in polynomial weighted spaces of continuous functions of two variables. Then we research some approximation properties of these operators. We give some inequalities for the operators by means of the weighted modulus of continuity and also obtain a Voronovskaya-type theorem. Furthermore, in the paper we show that our operators give better degree of approximation of functions belonging to weighted spaces than classical Szász-Mirakyan operators.
Keywords : Kantorovich type operators, modulus of continuity, weighted spaces, Voronovskaya type theorem

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