Direct local and global approximation results for Operators of Gamma Type

Authors : Harun KARSLİ, Ali ÖZARSLAN

Pages : 241-253

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Publication Date : 2010-02-01

Article Type : Research Paper

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 insert ignore into journalissuearticles values(Approximation and rate of approximation on unbounded intervals, Kastamonu Edu. J. Okt. 11 insert ignore into journalissuearticles values(2);, 451–460, 2003 insert ignore into journalissuearticles values(in Turkish););, and independently by H. Karsli insert ignore into journalissuearticles values(Rate of convergence of a new Gamma Type Operator for functions with derivatives of bounded variation, Math. Comput. Modelling 45 insert ignore into journalissuearticles values(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