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Proceedings of the American Mathematical Society

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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$.


References [Enhancements On Off] (What's this?)

  • [1] M. Jodeit, An inequality for the indefinite integral of a function in $ {L^q}$, Studia Math. 44 (1972), 545-554. MR 0341055 (49:5805)
  • [2] B. F. Jones, A note on Hölder's inequality, Studia Math. 64 (1979), 273-278. MR 544731 (80k:26013)
  • [3] J. Moser, A sharp form of an inequality by N. Trudinger, Indiana Univ. Math. J. 20 (1971), 1077-1092. MR 0301504 (46:662)

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

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