A Note On Kantorovich Type Operators Which Preserve Affine Functions

Year 2024, Volume: 7 Issue: 1, 53 - 58, 31.03.2024

Didem Aydın Arı , Gizem Uğur Yılmaz

https://doi.org/10.33401/fujma.1424382

Abstract

The authors present an integral widening of operators which preserve affine functions. Influenced by the operators which preserve affine functions, we define the integral extension of these operators. We give quantitative type theorem using weighted modulus of continuity. Withal quantitative Voronovskaya theorem is aquired by classical modulus of continuity. When the moments of the operator are known, convergence results with the moments obtained for the Kantorovich form of the same operator is given.

Keywords

Weighted modulus of continuity, rate of convergence, Voronovskaya Theorem

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