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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Some inequalities related to Hölder's inequality


Author: C. J. Neugebauer
Journal: Proc. Amer. Math. Soc. 82 (1981), 560-564
MSC: Primary 26D15
DOI: https://doi.org/10.1090/S0002-9939-1981-0614878-8
MathSciNet review: 614878
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Abstract: In this paper we generalize the Jodeit-Jones-Moser inequalities relating $ 0 \leqslant x - {\left( {\int _0^xf} \right)^p},{\text{if}}{\left\Vert f \right\Vert _q} \leqslant 1$.


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DOI: https://doi.org/10.1090/S0002-9939-1981-0614878-8
Article copyright: © Copyright 1981 American Mathematical Society