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
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
Academic Editor: Brigitte Forster-Heinlein
Copyright © 2007 Ovidiu T. Pop. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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.