A Recurrence Method for Generalizing Known Scientific Results

Abstract

A great number of articles widen a known scientific result $P(a)$ (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 $P(a)$ 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.