Direct local and global approximation results for Operators of Gamma Type

Year 2010, Volume: 39 Issue: 2, 241 - 253, 01.02.2010

Harun Karsli Ali Özarslan

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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