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

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.

13 pages, 4 figures. arXiv admin note: substantial text overlap with arXiv:1504.05887. text overlap with arXiv:1504.05887

References in corpus (4)

• Two-parameter quantum algebras, twin-basic numbers, and associated generalized hypergeometric series
• On the fundamental theorem of $(p,q)$-calculus and some $(p,q)$-Taylor formulas
• Approximation by a Kantorovich type q-Bernstein-Stancu operators
• Some Approximation Results by $(p,q)$-analogue of Bernstein-Stancu Operators (Revised)

Cited by in corpus (2)

• Approximation properties of (p;q)-variant of Stancu-Schurer operators(Revised)
• On Chlodowsky variant of (p,q) Kantorovich-Stancu-Schurer operators