Inequalities involving integrals of polar-conjugate concave functions

M. Meyer; S. Reisner

doi:10.1007/BF01317315

Inequalities involving integrals of polar-conjugate concave functions

M. Meyer, S. Reisner

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	219-227
Number of pages	9
Journal	Monatshefte fur Mathematik
Volume	125
Issue number	3
DOIs	https://doi.org/10.1007/BF01317315
State	Published - 1998

Keywords

Concave functions
Convex bodies
Inverse Santaló

ASJC Scopus subject areas

General Mathematics

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10.1007/BF01317315

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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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AU - Reisner, S.

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KW - Concave functions

KW - Convex bodies

KW - Inverse Santaló

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DO - 10.1007/BF01317315

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JO - Monatshefte fur Mathematik

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ER -

Inequalities involving integrals of polar-conjugate concave functions

Abstract

Keywords

ASJC Scopus subject areas

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