SOME APPROXIMATION PROPERTIES OF KANTOROVICH VARIANT OF CHLODOWSKY OPERATORS BASED ON q INTEGER

Year 2016, Volume: 65 Issue: 2, 97 - 120, 01.08.2016

Ali Karaısa Ali Aral

https://doi.org/10.1501/Commua1_0000000763

Abstract

In this paper, we introduce two diğerent Kantorovich type generalization of the q Chlodowsky operators. For the first operators we give some weighted approximation theorems and a Voronovskaja type theorem. Also, we present the local approximation properties and the order of convergence forunbounded functions of these operators . For second operators, we obtain aweighted statistical approximation property

Keywords

q Chlodowsky operators, modulus of continuity, local approximation, Peetre’s K-functional, statistical convergence

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• Current address : A. Karaisa, Department of Mathematics–Computer Sciences, Necmettin Erbakan University, 42090 Meram, Konya, Turkey
• E-mail address : [e-mail], [e-mail] Current address : A. Aral, Department of Mathematics, Kırıkkale University,71450 Yah¸sihan, Kırıkkale, Turkey
• E-mail address : [e-mail]