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.

کلیدواژه ها:

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