This article demonstrates convergence and approximation features of Bernstein-Kantorovich operators in function spaces, indicating potential applications in mathematical analysis.
This article presents the Kantorovich formulation of (?, q)-Bernstein operators related by B?zier basis functions using the features of shifted knots. We derive these operators? convergence and other associated approximation features. We use the modulus of continuity to discuss the degree of convergence of our operators. Furthermore, we derive the approximation in Lipschitz spaces and provide several fundamental direct theorems. The Voronovskaja type asymptotic formulas and some graphical examples are also presented.
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Alamrani et al. (2025) studied this question.
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