Blending type approximation by τ-Baskakov-Durrmeyer type hybrid operators

Abstract

Abstract In this work, we construct a Durrmeyer type modification of the τ-Baskakov operators depends on two parameters α > 0 $\alpha >0$ and τ ∈ [ 0 , 1 ] $\tau \in [0,1]$ . We derive the rate of approximation of these operators in a weighted space and also obtain a quantitative Voronovskaja type asymptotic formula as well as a Grüss Voronovskaya type approximation.

Keywords

• Positive approximation
• τ-Baskakov operators
• Lipschitz-type space