An extension of the Cheney-Sharma operator of the first kind

We extend the Cheney-Sharma operators of the first kind using Stancu type technique and we study some approximation properties of the new operator. We calculate the moments, we study local approximation with respect to a K-functional and the preservation of the Lipschitz constant and order.

Bibliographic Details
Main Authors: Teodora Cătinaș, Iulia Buda
Format: Article
Language:English
Published: Publishing House of the Romanian Academy 2023-12-01
Series:Journal of Numerical Analysis and Approximation Theory
Subjects:
Online Access:https://ictp.acad.ro/jnaat/journal/article/view/1373