A Stancu–Schurer type extension of higher order of the Cheney–Sharma operators
Abstract
Abstract In this paper we introduce a Stancu–Schurer type extension of higher order of the Cheney–Sharma operators. Starting from the operators studied by Bostanci and Başcanbaz-Tunca, respectively by Cătinaş and Buda (in the form of a Stancu operator with generalized Bernstein polynomials) we extend the convex combination of two terms which appears in the expression of the operator to a convex combination of m terms, where m ∈ N $m\in \mathbb{N}$ , with m ≥ 1. We called these new operators the Stancu–Schurer type extension of order m of the Cheney–Sharma operators (of first, respectively second kind). For these operators we study some approximation and convexity properties, modulus of continuity and Korovkin-type theorems.
Fields of Study & Subjects
Approximation Theory and Sequence Spaces
Mathematical Inequalities and Applications
Fixed Point Theorems Analysis
Publication details
- Journal / source
- Mathematica Slovaca
- Publisher
- Walter de Gruyter GmbH
- Volume
- 76
- Issue
- 1
- Pages
- 225–244
- Publication date
- 27 January 2026
- Language
- EN