John A. Gordon, "Matrix Inequalities in the Theory of Mixed Quermassintegrals and the Lp-Brunn-Minkowski Theory," WSEAS Transactions on Mathematics, vol. 15, pp. 566-577, 2016, DOI:
John A. Gordon. Matrix Inequalities in the Theory of Mixed Quermassintegrals and the Lp-Brunn-Minkowski Theory.
WSEAS Transactions on Mathematics. 2016;15:566-577.
WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 15, 2016
Matrix Inequalities in the Theory of Mixed Quermassintegrals and the Lp-Brunn-Minkowski Theory
Author:
Abstract: The Brunn-Minkowski theory is central to convex geometric analysis, and mixed quermassintegrals and mixed p-quermassintegrals play a very important role in this theory. During the past quarter of a century both duals and Lp extensions of this theory have been developed. It is the aim of this present work to continue the development of analogues, for positive definite symmetric matrices, of some of the fundamental notations, invariants, and inequalities of mixed quermassintegrals, mixed p-quermassintegrals and Lp Brunn-Minkowski theory.
Keywords:
Mixed determinant, Ordinary Quermassintegral, Mixed Quermassintegral, Mixed p-Quermassintegral, Matrix Lp-sum, Minkowski inequality, Lp-Brunn Minkowski inequality
Pages: 566-577 WSEAS Transactions on Mathematics, ISSN / E-ISSN: 1109-2769 / 2224-2880, Volume 15, 2016, Art. #53 DOI: *As the DOI is a unique identifier, it is already available in the pdf version.
**The DOI link will be activated in the first midst of January 2026.
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