Dergiler / Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics / 2019 / Cilt: 68 - Sayı: 2

ON STANCU TYPE GENERALIZATION OF(p; q)-BASKAKOV-KANTOROVICH OPERATORS

ON STANCU TYPE GENERALIZATION OF(p; q)-BASKAKOV-KANTOROVICH OPERATORS

Kadir KANAT, Melek SOFYALIOĞLU

Sayfa
1995–2013
DOI
—

Abstract

In the current paper, we introduce Stancu type generalizationof Baskakov-Kantorovich operators based on (p; q)-integers and estimate themoments. We show the convergence of the new operators via the weightedKorovkin theorem. Then we investigate direct results by using Peetreís Kfunctional and modulus of continuity. In addition, we give pointwise estimation by the help of functions belonging to Lipschitz class. Moreover, wedemonstrate the Voronovskaya-type theorem for the newly constructed operators. In the last section, we represent some illustrative graphics to showthe convergence of the constructed operators to the selected function by usingMATLAB.