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
Open Access
A Voronovskaya-type theorem for a positive linear operator
Received23 Mar 2005
Revised20 Dec 2005
Accepted04 Jan 2006
Published28 Feb 2006
References
A. Ciupa, “A positive linear operator for approximation in exponential weight spaces,” in Mathematical Analysis and Approximation Theory, the 5th Romanian-German Seminar on Approximation Theory and Its Applications (RoGer, 2002), pp. 85–96, Burg, Sibiu, 2002.
View at: Google Scholar | Zentralblatt MATH | MathSciNetA. Ciupa, “Approximation by a generalized Szasz type operator,” Journal of Computational Analysis and Applications, vol. 5, no. 4, pp. 413–424, 2003.
View at: Publisher Site | Google Scholar | Zentralblatt MATH | MathSciNetM. Leśniewicz and L. Rempulska, “Approximation by some operators of the Szasz-Mirakjan type in exponential weight spaces,” Glasnik Matematički. Serija III, vol. 32(52), no. 1, pp. 57–69, 1997.
View at: Google Scholar | Zentralblatt MATH | MathSciNet
Copyright
Copyright © 2006 Hindawi Publishing Corporation. 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.