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
