Recently G. Bennett described a new way of looking at classical inequalities. His method is a certain "factorization" of inequalities. The new results provide the best possible version of several well-known inequalities. We generalize one of Bennett's theorems which is the factorized restatement and generalization of the following classical Hardy inequality: ∑∞n=1 (1/n ∑nk=1|cursive Greek chik|) p < (p/p - 1) p ∑∞n=1 |cursive Greek chin|p, whics holds for any p > 1.
ASJC Scopus subject areas