Direct estimates for a new general family of Durrmeyer type operators

Abstract

The present paper deals with the general class of Durrmeyer type operators. Here we introduce a generalized family of the hybrid integral operators, the special cases of our operators include some well known operators as particular cases viz. Lupas–Szasz type operators, Phillips operators and the Baskakov–Szasz operators. We establish some direct results, which include the asymptotic formula and error estimation in terms of the modulus of continuity.