ON HARDY TYPE INEQUALITIES FOR WEIGHTED QUASIDEVIATION MEANS

摘要

Using recent results concerning the homogenization and the Hardy property of weighted means, we establish sharp Hardy constants for concave and monotone weighted quasideviation means and for a few particular subclasses of this broad family. More precisely, for a mean D like above and a sequence (lambda(n)) of positive weights such that lambda(n)/(lambda(1) +...+lambda(n)) is nondecreasing, we determine the smallest number H is an element of (1,+infinity] such that