Inequalities involving integrals of polar-conjugate concave functions |
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| Authors: | M Meyer S Reisner |
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| Institution: | (1) Equipe d'Analyse et de Mathématiques Appliquées, Université de Marne-la-Vallée, 2, rue de la Butte Verte, F-93166 Noisy-le-Grand Cedex, France;(2) Department of Mathematics and School of Education-Oramin, University of Haifa, 31905 Haifa, Israel;(3) Department of Mathematics and Computer Science, University of Denver, 80208 Denver, CO, USA |
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| Abstract: | An inequality of K. Mahler, together with its case of equality, due to M. Meyer, are extended to integrals of powers of polar-conjugate concave functions. An application to estimation of the volume-product of certain convex bodies is given. |
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| Keywords: | 52A20 52A40 |
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