Approximation by Kantorovich type (p,q)-Bernstein-Schurer Operators

2015/05/25 by M. Mursaleen, Faisal Khan, Mursaleen, M. +1
Decision Sciences · Mathematics · #40A30 #41A10 #41A25 #41A36 #Approximation Theory and Sequence Spaces #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Fuzzy and Soft Set Theory #Iterative Methods for Nonlinear Equations

paper · pdf · doi:10.48550/arxiv.1506.02492

openalex publication_date 2015/05/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we introduce a Shurer type genaralization of (p,q)-Bernstein-Kantorovich operators based on (p,q)-integers and we call it as (p,q)-Bernstein-Schurer Kantorovich operators. We study approximation properties for these operators based on Korovkin's type approximation theorem and also study some direct theorems. Furthermore, we give comparisons and some illustrative graphics for the convergence of operators to some function.

Citations

• Approximation by a Kantorovich type q-Bernstein-Stancu operators
• On the fundamental theorem of (p,q)-calculus and some (p,q)-Taylor\n formulas

Related

• Some approximation results by Bernstein-Kantorovich operators based on (p,q)-integers
• On approximation by Stancu type q-Bernstein-Schurer-Kantorovich operators
• Approximation by a Kantorovich type q-Bernstein-Stancu operators
• Approximation properties of Chlodowsky variant of (p,q) Bernstein-Stancu-Schurer operators
• Some approximation results on Bernstein-Schurer operators defined by (p,q)-integers (Revised)