International Journal of Mathematics and Mathematical Sciences
Volume 2012 (2012), Article ID 574634, 7 pages
http://dx.doi.org/10.1155/2012/574634
Research Article

On Generalized Flett's Mean Value Theorem

Jana Molnárová

Institute of Mathematics, Faculty of Science, Pavol Jozef Šafárik University in Košice, Jesenná 5, 040 01 Košice, Slovakia

Received 27 March 2012; Accepted 20 September 2012

Academic Editor: Adolfo Ballester-Bolinches

Copyright © 2012 Jana Molnárová. 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 present a new proof of generalized Flett's mean value theorem due to Pawlikowska (from 1999) using only the original Flett's mean value theorem. Also, a Trahan-type condition is established in general case.