On genuine Lupa\c{s}-Beta operators and modulus of continuity

In the present article we discuss approximation properties of genuine Lupa\c{s}-Beta operators of  integral type. We establish quantitative asymptotic formulae and a direct estimate in terms of Ditzian-Totik modulus of continuity. Finally we mention  results on the weighted modulus of continuity for the genuine operators.

Keywords:

factorial polynomials , Beta basis function , direct estimates , weighted modulus of continuity , K-functionals