Department of Algebra and Mathematical Analysis, University of Almería, Almería,
04120 Andalucía, Spain
Academic Editor: Harvinder S. Sidhu
Copyright © 2012 José Juan Rodríguez Cano and Enrique de Amo. 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.
We give a new approach to Taylor's remainder formula, via a generalization of Cauchy's generalized mean value theorem, which allows us
to include the well-known Schölomilch, Lebesgue, Cauchy, and the Euler
classic types, as particular cases.