Journals / Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics / 2019 / Cilt: 68 - Sayı: 1

ON APPROXIMATION PROPERTIES OF TWO VARIABLES OF MODIFIED KANTOROVICH-TYPE OPERATORS

Pages
187–196
DOI
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Abstract

In the present paper, we introduce certain modiÖcation of Sz·szMirakyan-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 meansof the weighted modulus of continuity and also obtain a Voronovskaya-typetheorem. Furthermore, in the paper we show that our operators give better degree of approximation of functions belonging to weighted spaces thanclassical Sz·sz-Mirakyan operators.