This note explores convergence rates and error estimations of Riemann-Liouville fractional Lupaş-Kantorovich operators, suggesting enhanced approximation over traditional methods.
In this note, we deal with Riemann-Liouville type Fractional Lupa?-Kantorovich operators of order ?, which introduces a new sequence of positive linear operators with fractional integration. Rate of convergence using modulus of continuity and approximate the Lipschitz class function using these new sequences of positive linear operators are obtained. We also discussed that error estimation in Riemann-Liouville fractional integral type Lupa?-Kantorovich operators (5) is better than Lupa?-Kantorovich op-erators (3). It?s weighted approximation properties and Voronovskaja?s type approximation theorems are also discussed. Approximation properties of the bivariate Riemann-Liouville fractional integral type Lupa?-Kantorovich operators are introduced and discussed at the end.
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Parmar et al. (2025) studied this question.
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