Approximation by Bezier-Baskakov-Jain type operators

Abstract

In this paper, we introduce the B\'{e}zier variant of the $\alpha$-Baskakov-Jain type operators. We explore the elements of the Lipschitz type space, propose a direct approximation theorem using the modulus of continuity, and assess the approximation rate for functions possessing derivatives of bounded variation. The use of computer graphics lends support to the validity of the theoretical components in this study.