Quantitative estimates for Jain-Kantorovich operators

Authors : Emre DENIZ

Pages : 121-132

Doi:10.1501/Commua1_0000000764

View : 15 | Download : 10

Publication Date : 2016-08-01

Article Type : Research Paper

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