Direct Approximation for Modified Szasz Operators in Lp-Spaces

Abstract

The study of mixed type operators with the combination of two basis functions which may be either same or different, is very vast. Just now, the exploration of the properties of mixed type operators are limited not only to the functions of bounded variation but also to the unbounded variation too in some spaces. Several Mathematicians have used the convergence rate, Moduli of smoothness etc. to get some direct, inverse and saturation results for various types of mixed operators in their study and seen very interesting conclusions. In this paper, we discuss about direct results for these operators having the same basis functions as Szasz basis function in the Lp-spaces.