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On strengthened weighted Carleman's inequality

Published online by Cambridge University Press:  17 April 2009

Aleksandra Čižmešija
Affiliation:
Department of Mathematics, University of Zagreb, Bijenička cesta 30, 10000 Zagreb, Croatia, e-mail: cizmesij@math.hr
Josip Pecarić
Affiliation:
Department of Mathematics, Luleå University of Technology, SE – 971 87 Luleå, Sweden, e-mail: larserik@sm.luth.se
Lars–Erik Persson
Affiliation:
Faculty of Textile Technology, University of Zagreb, Pierottigera 6, 10000 Zagreb, Croatia, e-mail: pecaric@hazu.hr
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Abstract

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In this paper we prove a new refinement of the weighted arithmetic-geometric mean inequality and apply this result in obtaining a sharpened version of the weighted Carleman's inequality.

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 2003

References

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