On a Kantorovich Variant of (p,q)-Szász-Mirakjan Operators

We propose a Kantorovich variant of (p,q)-analogue of Szász-Mirakjan operators. We establish the moments of the operators with the help of a recurrence relation that we have derived and then prove the basic convergence theorem. Next, the local approximation and weighted approximation properties of t...

Full description

Saved in:
Bibliographic Details
Main Authors: M. Mursaleen, Abdullah Alotaibi, Khursheed J. Ansari
Format: Article
Language:English
Published: Wiley 2016-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2016/1035253
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:We propose a Kantorovich variant of (p,q)-analogue of Szász-Mirakjan operators. We establish the moments of the operators with the help of a recurrence relation that we have derived and then prove the basic convergence theorem. Next, the local approximation and weighted approximation properties of these new operators in terms of modulus of continuity are studied.
ISSN:2314-8896
2314-8888