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March 10, 2026Journal of Mathematics1 citationsOpen Access

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

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AAAbdullah AlotaibiKing Abdulaziz University

Key Points

  • The study aims to define and analyze the approximation properties of bivariate Stancu-type Kantorovich operators using shifted knots.
  • Defined bivariate Stancu-type Kantorovich operators with shifted knots
  • Estimated degree of approximation using Lipschitz kind bivariate functions
  • Studied convergence through modulus of continuity
  • Validated results using numerical and graphical experiments in MATLAB
  • Estimated effective degrees of approximation of the defined operators
  • Demonstrated convergence behaviors with respect to the modulus of continuity
  • Validated approximation results through MATLAB experiments

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.

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Cite This Study

Abdullah Alotaibi (2026) studied this question.

synapsesocial.com/papers/69af94fa70916d39fea4c21ahttps://doi.org/10.1155/jom/8454636
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