Direct, Inverse, and Equivalence Theorems for Weighted Szász—Durrmeyer—Bézier Operators in Orlicz Spaces

Direct, Inverse Theorems of Approximation by Linear Combinations of Weighted Baskakov–Durrmeyer Operators in Orlicz Spaces

“…However, because there is no result about the Linear combination of Baskakov-Durrmeyer operator in Orlicz space L * Φ [0, ∞) with the Jacobi weight function, this is not sufficient. In [11,12], the first author and her coauthors obtained approximation properties for positive and linear operators in the Orlicz space L * Φ [0, ∞). Motivated by these conclusions, by virtue of modified K-functional, we will discover in this paper approximation properties for the Jacobi weighted Baskakov-Durrmeyer operators.…”