International Journal of Mathematics and Mathematical Sciences
Volume 2006 (2006), Article ID 42368, 7 pages
doi:10.1155/IJMMS/2006/42368
A Voronovskaya-type theorem for a positive linear operator
Department of Mathematics, Technical University of Cluj-Napoca, Cluj-Napoca 3400, Romania
Received 23 March 2005; Revised 20 December 2005; Accepted 4 January 2006
Copyright © 2006 Alexandra Ciupa. 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
We consider a sequence of positive linear operators which
approximates continuous functions having exponential growth at
infinity. For these operators, we give a Voronovskaya-type
theorem