Approximation Associated with Kantorovich Version of Bézier (λ,q)–Bernstein–Schurer Operators
Abstract
In the present paper, the Kantorovich modification of the Schurer type of (λ,q)-Bernstein operators, which are associated by the shape parameter −1≤λ≤1 and the Bézier basis function, is presented. Using Korovkin’s theorem, we establish several local and global approximation properties. Lastly, we calculate the convergence properties for the functions that belong to Peetre’s K-functional and Lipschitz maximum by using the classical modulus of continuity and second-order modulus of continuity. In the last section, graphical and numerical analysis are studied.
Fields of Study & Subjects
Approximation Theory and Sequence Spaces
Fixed Point Theorems Analysis
Analytic and geometric function theory
Publication details
- Journal / source
- Mathematics
- Publisher
- MDPI AG
- Volume
- 14
- Issue
- 4
- Pages
- 644–644
- Publication date
- 12 February 2026
- Language
- EN