Some inequalities related to Hölder’s inequality
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- by C. J. Neugebauer PDF
- Proc. Amer. Math. Soc. 82 (1981), 560-564 Request permission
Abstract:
In this paper we generalize the Jodeit-Jones-Moser inequalities relating $0 \leqslant x - {\left ( {\int _0^xf} \right )^p},{\text {if}}{\left \| f \right \|_q} \leqslant 1$.References
- Max Jodeit Jr., An inequality for the indefinite integral of a function in $L^{q}$, Studia Math. 44 (1972), 545–554. MR 341055, DOI 10.4064/sm-44-6-545-554
- B. Frank Jones Jr., A note on Hölder’s inequality, Studia Math. 64 (1979), no. 3, 273–278. MR 544731, DOI 10.4064/sm-64-3-273-278
- J. Moser, A sharp form of an inequality by N. Trudinger, Indiana Univ. Math. J. 20 (1970/71), 1077–1092. MR 301504, DOI 10.1512/iumj.1971.20.20101
Additional Information
- © Copyright 1981 American Mathematical Society
- 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