Author/Authors :
Gupta, Vijay Department of Mathematics - Netaji Subhas Institute of Technology, India , Rassias, Themistocles M Department of Mathematics - National Technical University of Athens - Zografou Campus - Athens, Greece , Pandey, Ekta Department of Mathematics - IMS Engineering College - (UP), India
Abstract :
In the present article we discuss approximation properties of genuine Lupas-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
