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This work explores a generalization of Kantorovich operators using three parameters to enhance approximation techniques.

May 19, 2026Open Access

A new generalization of Kantorovich operators having three parameters

Key Points

This work explores a generalization of Kantorovich operators using three parameters to enhance approximation techniques.
Presented approximation theorems in spaces of real-valued continuous functions on compact intervals and Lp-space.
Derived estimates for the rate of convergence using modulus of continuity and first-order Lp modulus of smoothness.
Illustrated graphical examples to validate the main results.
Showed effective approximation of continuous functions with provided Kantorovich operators.
Established quantitative estimates for convergence rates under specified conditions.
Presented graphical examples that underscore the relevance of findings.

Abstract

This paper mainly deals with Kantorovich variant of generalized Stancu operators with three parameters. Initially, we exhibit approximation theorems in the space of real valued continuous functions on compact interval and next Lp-space. Additionally, we obtain some estimates for the rate of convergence by making use of modulus of continuity and Lp modulus of smoothness of the first order. Ultimately, we yield some graphical examples showing the relevance of the results.

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Çetin et al. (Wed,) studied this question.

synapsesocial.com/papers/6a0bfe2d166b51b53d37969e https://doi.org/https://doi.org/10.2298/fil2528065c

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