Work

Approximation by Kantorovich λ-Bernstein operators under shifted knot frameworks: numerical analysis and graphical study

Year: 2026

Type: article

Abstract: This manuscript introduces a Kantorovich variant of λ -Bernstein operators with shifted knots, constructed using Bézier basis functions. After defining the operators, we provide a comprehensive approximation analysis utilizing Korovkin’s theorem, the modulus of continuity, and the Ditzian-Totik modulus of smoothness. Theoretical findings are further strengthened by direct theorems articulated through Peetre’s K-functional and Lipschitz-type conditions. To validate the proposed model, we present extensive numerical data and graphical evidence, with error norm tables confirming the efficiency and convergence rates of the operators.

Source: Journal of Inequalities and Applications

DOI: 10.1186/s13660-026-03531-7

Authors: M. Mursaleen, Md. Nasiruzzaman, Esmail Alshaban, Adel Alatawi, Nadeem Rao, Mohd Raiz

Institutions: Aligarh Muslim University, China Medical University, Bartin University, China Medical University Hospital, Saveetha University, University of Tabuk, Chandigarh University

Language: English

Topic: Approximation Theory and Sequence Spaces

Subfield: Statistics and Probability

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,190

OpenAlex ID: W7204144396

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