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On the Approximation Process of Shifted-Knots Bivariate Stancu-Type Kantorovich Operators

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  • Abdullah Alotaibi

Abstract

This paper focuses on defining bivariate Stancu-type Kantorovich operators with the technique associated with the idea of shifted knots. The degree of approximation and weighted approximation of these bivariate operators are estimated, respectively, by means of Lipschitz kind bivariate functions and weighted functions of two variables. Furthermore, the convergence of our newly defined operators is studied in view of the modulus of continuity. Moreover, the approximation results are validated via numerical and graphical experiments using MATLAB.

Suggested Citation

  • Abdullah Alotaibi, 2026. "On the Approximation Process of Shifted-Knots Bivariate Stancu-Type Kantorovich Operators," Journal of Mathematics, Hindawi, vol. 2026, pages 1-26, February.
    • Handle: RePEc:hin:jjmath:8454636
    DOI: 10.1155/jom/8454636
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