Authors: Florentin Smarandache
A great number of articles widen known scientific results (theorems, inequalities, math/physics/chemical etc. propositions, formulas), and this is due to a simple procedure, of which it is good to say a few words: Let suppose that we want to generalizes a known mathematical proposition P(a) , where a is a constant, to the proposition P(n) , where n is a variable which belongs to subset of N . To prove that P is true for n by recurrence means the following: the first step is trivial, since it is about the known result P(a) (and thus it was already verified before by other mathematicians!). To pass from P(n) to P(n + 1) , one uses too P(a) : therefore one widens a proposition by using the proposition itself, in other words the found generalization will be paradoxically proved with the help of the particular case from which one started! We present below the generalizations of Hölder, Minkovski, and respectively Tchebychev inequalities.
Comments: 7 pages
Unique-IP document downloads: 149 times
Add your own feedback and questions here:
You are equally welcome to be positive or negative about any paper but please be polite. If you are being critical you must mention at least one specific error, otherwise your comment will be deleted as unhelpful.