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◆ Mathematics2026-02-12· Mathematics

Approximation Associated with Kantorovich Version of Bézier (λ,q)–Bernstein–Schurer Operators

Md. Nasiruzzaman, Mohammad Farid, Harun ÇİÇEK, Nadeem Rao

原始摘要(英文原文)· Original 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.
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Approximation Associated with Kantorovich Version of Bézier (λ,q)–Bernstein–Schurer Operators — 科研速览 Science Skim