DOI: 10.35378/gujs.1888186 ISSN: 2147-1762

Yet another Kantorovich variant of Lupaş-Jain operators

Murat Bodur
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This paper proposes a novel Kantorovich-type extension of the Lupaş-Jain operators, aiming to enhance their approximation capabilities. The investigation begins by establishing weighted uniform approximation properties for the newly defined operators. Following this, a rigorous quantitative estimate is derived. Then, we examine the order of approximation by employing a modulus of continuity, the Lipschitz class and the Lipschitz-type maximal function. To conclude, numerical examples are presented to substantiate the theoretical findings.

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