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december 2015 On the lower bound for $B_{i}(K)B_{i}(K^{*})$
Chang-Jian Zhao
Bull. Belg. Math. Soc. Simon Stevin 22(5): 689-696 (december 2015). DOI: 10.36045/bbms/1450389240

Abstract

In this paper, we establish the greatest lower bound for the product $B_{i}(K)B_{i}(K^{*})$ of the width-integrals of index $i$ of convex body $K$. Further, the greatest lower bound for the product of the mixed width-integrals $A_{p,i}(K)A_{p',i}(K^{*})$ for the mixed width-integrals is given.

Citation

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Chang-Jian Zhao. "On the lower bound for $B_{i}(K)B_{i}(K^{*})$." Bull. Belg. Math. Soc. Simon Stevin 22 (5) 689 - 696, december 2015. https://doi.org/10.36045/bbms/1450389240

Information

Published: december 2015
First available in Project Euclid: 17 December 2015

zbMATH: 1333.52012
MathSciNet: MR3435074
Digital Object Identifier: 10.36045/bbms/1450389240

Subjects:
Primary: 52A40
Secondary: 53A15

Keywords: Blaschke-Santaló inequality , mixed width-integrals of index $p$ , width-integrals of index $i$

Rights: Copyright © 2015 The Belgian Mathematical Society

Vol.22 • No. 5 • december 2015
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