Direct local and global approximation results for Operators of Gamma Type

Abstract

In this paper some direct local and global approximation results are
obtained for the modified Gamma operators defined by A. Izgi and
B¨uy¨ukyazıcı (Approximation and rate of approximation on unbounded
intervals, Kastamonu Edu. J. Okt. 11 (2), 451–460, 2003 (in Turkish)), and independently by H. Karsli (Rate of convergence of a new
Gamma 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.

Keywords

• Gamma operators,Positive linear operators,Local and global approximation,Voronovskaya type theorem

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