Multidimensional Hardy-type inequalities with general kernels

Multidimensional Hardy-type inequalities with general kernels

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. Kai...

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Veröffentlicht in:Journal of mathematical analysis and applications 2008-12, Vol.348 (1), p.411-418
Hauptverfasser: Oguntuase, James A., Persson, Lars-Erik, Essel, Emmanuel K.
Format: Artikel
Sprache:eng
Schlagworte:
Exact sciences and technology
General integral operator
Inequalities
Integral equations
Kernels
Matematik
Mathematical analysis
Mathematics
Multidimensional Hardy-type inequalities
Operator theory
Sciences and techniques of general use
Weight functions
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Beschreibung
Zusammenfassung: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.
ISSN:0022-247X
1096-0813
1096-0813
DOI:10.1016/j.jmaa.2008.07.053