A Recurrence Method for Generalizing Known Scientific Results
arXiv:math/0611960
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 Hölder's inequality, of Minkovski's inequality, of Tchebychev's inequality, and of the Theorem of Menelaus respectively.
7 pages. "Généralisation du Théorème de Mmnélaüs" [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.