Direct local and global approximation results for Operators of Gamma Type

Abstract

In this paper some direct local and global approximation results areobtained for the modified Gamma operators defined by A. Izgi andB¨uy¨ukyazıcı (Approximation and rate of approximation on unboundedintervals, Kastamonu Edu. J. Okt. 11 (2), 451–460, 2003 (in Turkish)), and independently by H. Karsli (Rate of convergence of a newGamma Type Operator for functions with derivatives of bounded variation, Math. Comput. Modelling 45 (5-6), 617–624, 2007). Furthermore, a Voronoskaya type theorem is given for these operators.