- Communications Faculty of Sciences University Ankara Series A1 Mathematics and Statistics
- Vol: 65 Issue: 2
- Quantitative estimates for Jain-Kantorovich operators
Quantitative estimates for Jain-Kantorovich operators
Authors : Emre Deniz
Pages : 121-132
Doi:10.1501/Commua1_0000000764
View : 8 | Download : 4
Publication Date : 2016-08-01
Article Type : Research
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 approximationKeywords : Jain operators, Kantorovich operators, Voronovskaya type theorem, Grüss-Voronovskaya type theorem, Weighted approximation