Approximation on parametric extension of Baskakov–Durrmeyer operators on weighted spaces

Abstract

Abstract In the present manuscript, we define a non-negative parametric variant of Baskakov–Durrmeyer operators to study the convergence of Lebesgue measurable functions and introduce these as α-Baskakov–Durrmeyer operators. We study the uniform convergence of these operators in weighted spaces.

Keywords

• Baskakov operators
• Simultaneous approximation
• Korovkin-type approximation theorems
• Weighted modulus of continuity
• Rate of convergence
• Peetre’s K-functional