Quantitative Estimates For Jain-Kantorovich Operators

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.