Quantitative estimates for Jain-Kantorovich operators

Year 2016, Volume: 65 Issue: 2, 121 - 132, 01.08.2016

Emre Denız

https://doi.org/10.1501/Commua1_0000000764

Cited By: 11

Abstract

By using given arbitrary sequences,property that limn 1nn= 0and limn 1 n= 0, we give a Kantorovichtype generalization of Jain operator based on the a Poisson disrtibition. Fristlywe give the quantitative Voronovskaya type theorem. Then we also obtain theGrüss Voronovskaya type theorem in quantitative form .We show that theyhave an arbitrary good order of weighted approximation

Keywords

Jain operators, Kantorovich operators, Voronovskaya type theorem, Grüss-Voronovskaya type theorem, Weighted approximation

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• Current address : Department of Mathematics, Faculty of Science and Arts, Kirikkale Univer- sity, 71450 Yahsihan, Kirikkale, Turkey
• E-mail address : [e-mail]