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Multidimensional Hardy-type inequalities with general kernels |
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| Authors: | James A. Oguntuase Lars-Erik Persson |
| Affiliation: | a Department of Mathematics, University of Agriculture, P. M. B. 2240, Abeokuta, Nigeria b Department of Mathematics, Luleå University of Technology, SE-971 87, Luleå, Sweden c Department of Mathematics and Statistics, University of Cape Coast, Cape Coast, Ghana |
| 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. |
| Keywords: | Inequalities Multidimensional Hardy-type inequalities General integral operator Kernels Weight functions |
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