Document Type : Research Paper

Authors

• Vijay Gupta ¹
• Th.M. Rassias ²
• Ekta Pandey ³

¹ Netaji Subhas Institute of Technology New Delhi, India

² Department of Mathematics, National Technical University of Athens, Zofrafou Campus, 15780 Athens, Greece

³ Department of Mathematics, IMS Engineering College Ghaziabad-201009, (UP), India

Abstract

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