Approximation Associated with Kantorovich Version of Bézier (λ,q)–Bernstein–Schurer Operators
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.
Authors
- Nadeem Alam Rao
- Harun ÇİÇEK (ORCID: https://orcid.org/0000-0003-3018-3015)
- Md. Nasiruzzaman
- Mohammad Farid
Institutions
- Chandigarh University (IN)
- Qassim University (SA)
- Bitlis Eren University (TR)
- University of Tabuk (SA)
Publication Details
- Journal
- Mathematics
- Published
- 2026-02-12
- DOI
- https://doi.org/10.3390/math14040644
- Primary Topic
- Approximation Theory and Sequence Spaces
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Qassim University