Abstract Employing some properties of multivariate Baskakov–Durrmeyer operators and utilizing modified K -functional a decomposition technique, the authors obtain direct theorem weak type inverse in Orlicz spaces.

In the present paper, we introduce a new type of Bernstein-Durrmeyer operators preserving linear functions in movable interval. The approximation rate for continuous and Voronovskaja?s asymptotic estimate are obtained.

This research paper is an introduction to a new type of analogue named as -analogue for well-known Baskakov Durrmeyer operators. considered reverse order -analogue. In this paper, we establish the direct approximation theorem, weighted theorem followed by estimations rate convergence these operators functions polynomial growth on interval.

Recently, a mixed hybrid operator, generalizing the well-known Phillips operators and Baskakov-Szász type operators, was introduced. In this paper, we study Bézier variant of these new operators. We investigate the degree of approximation of these operators by means of the Lipschitz class function, the modulus of continuity, and a weighted space. We study a direct approximation theorem by means...