A Recurrence Method for Generalizing Known Scientific Results
General Mathematics
2010-03-29 v3
Abstract
A great number of articles widen a known scientific result (such as: a theorem, an inequality, or a math/physics/chemical etc. proposition or formula) by a simple recurrence procedure and using, in the proof, the proposition itself. We present, as examples, the generalizations of H\"older's inequality, of Minkovski's inequality, of Tchebychev's inequality, and of the Theorem of Menelaus respectively.
Cite
@article{arxiv.math/0611960,
title = {A Recurrence Method for Generalizing Known Scientific Results},
author = {Florentin Smarandache},
journal= {arXiv preprint arXiv:math/0611960},
year = {2010}
}
Comments
7 pages. "G\'en\'eralisation du Th\'eor\`eme de M\'mn\'ela\"us" [Generalization of the Theorem of Menelaus] presented in Rabat, Morocco, to the Seminar for the selection and preparation of the Moroccan students for the International Olympiad of Mathematics in Paris - France, 1983.