International Journal of Mathematics and Mathematical Sciences 
Volume 2007 (2007), Article ID 91781, 13 pages
doi:10.1155/2007/91781
Research Article

About Some Linear Operators

Ovidiu T. Pop1,2

 1Department of Mathematics, National College “Mihai Eminescu”, 5 Mihai Eminescu Street, Satu Mare 440014, Romania
2Department of Mathematics and Informatics, Vest University “Vasile Goldiş” of Arad, Branch of Satu Mare, 26 Mihai Viteazul Street, Satu Mare 440030, Romania
Received 22 March 2007; Revised 24 May 2007; Accepted 15 July 2007

Recommended by Brigitte Forster-Heinlein

Abstract

Using the method of Jakimovski and Leviatan from their work in 1969, we construct a general class of linear positive operators. We study the convergence, the evaluation for the rate of convergence in terms of the first modulus of smoothness and we give a Voronovskaja-type theorem for these operators.