A NOTE ON SIMULTANEOUS APPROXIMATION OF SOME INTEGRAL GENERALIZATION OF THE LUPAS OPERATORS
PRASHANTKUMAR PATEL *
Department of Applied Mathematics and Humanities, Sardar Vallabhbhai National Institute of Technology, Surat-395 007(Gujarat), India. and Department of Mathematics, St. Xavier College, Ahmedabad-380 009(Gujarat), India.
VISHNU NARAYAN MISHRA
Department of Applied Mathematics and Humanities, Sardar Vallabhbhai National Institute of Technology, Surat-395 007(Gujarat), India.
*Author to whom correspondence should be addressed.
Abstract
In this paper, we deals with simultaneous approximation properties of Stancu Generalization of the Lupas-Durrmeyer operators. Also, present another generalization of the Lupas-Durrmeyer- Stancu operators with parameter γ and establish some direct results in ordinary and simultaneous approximation for these operators.
Keywords: Lupa¸s operators, durrmeyer operators, simultaneous approximation, asymptotic formula, weighted approximation, better approximation