Rate of convergence of bounded variation functions by a Bézier-Durrmeyer variant of the Baskakov operators

is the Baskakov basis function. Note that (1.1) is well defined, for n ≥ r +2, provided that f(t) = O(tr ) as t → ∞. The operators (1.1) were first introduced by Sahai and Prasad [9]. They termed these operators as modified Lupaş operators. In 1991, Sinha et al. [10] improved and corrected the results of [9] and denoted Ṽn as modified Baskakov operators. The rate of convergence of the operators (1.1) on functions of bounded variation was studied in [8, 11]. We mention that Agrawal and Thamer [2] considered the variant