Different Variants of Bernstein Kantorovich Operators and Their Applications in Sciences and Engineering Field

Year 2023, Volume: 5 Issue: 4, 293 - 299, 31.12.2023

Parveen Bawa , Neha Bhardwaj , Sumit Kaur Bhatia

https://doi.org/10.51537/chaos.1320442

Abstract

In this article, we investigate various Bernstein-Kantorovich variants together with their approximation properties. Nowadays, these variants of Bernstein-Kantorovich operators have been a source of inspiration for researchers as it helps to approximate integral functions also which is not feasible in the case of discrete operators. Chaos theory has also been referred to as complexity theory. Using chaos theory complexity is also reduced as in approximation theory. Thus in order to reduce complexity and to have better understanding of images in sciences and engineering field, sampling Kantorovich operators of approximation theory are widely used in this regard for enhancement of images. Thus, we discuss the important applications of Kantorovich operators depicting pragmatic and theoretical aspects of approximation theory.

Keywords

Bernstein Kantorovich operators, q-calculus, Lupas Stancu operators, Polya distribution

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