On Lupaş-Kantorovich Operators with Riemann-Liouville Fractional integral

Abstract

In this note, we deal with Riemann-Liouville type Fractional Lupaş-Kantorovich operators of order α, which introduces a new sequence of positive linear operators with fractional integration. Rate of convergence using modulus of continuity and approximate the Lipchitz class function using these new sequences of positive linear operators are obtained. It’s weighted approximation properties and Voronovskaja’s type approximation theorems are also discussed. Approximation properties of the bivariate Riemann-Liouville fractional integral type Lupaş-Kantorovich operators are introduced and discussed at the end.