Article ID Journal Published Year Pages File Type
4620606 Journal of Mathematical Analysis and Applications 2008 8 Pages PDF
Abstract

Some new multidimensional Hardy-type inequalities involving arithmetic mean operators with general positive kernels are derived. Our approach is mainly to use a convexity argument and the results obtained improve some known results in the literature and, in particular, some recent results in [S. Kaijser, L. Nikolova, L.-E. Persson, A. Wedestig, Hardy-type inequalities via convexity, Math. Inequal. Appl. 8 (3) (2005) 403–417] are generalized and complemented.

Related Topics
Physical Sciences and Engineering Mathematics Analysis