Certain Properties of Lupas- Kantorovich operators

Abstract

In the present paper, we establish a link between the Lupas operators and its Kantorovich type integral modication, by applying the methods of nite differences, also the difference between the two operators is established in weighted spaces. Further, we consider a modification of the Kantorovich variant, which preserves the test functions $e^{jx}; j = 1; 2$ and estimate a Voronovskaja type convergence estimate.