Results 41 to 50 of about 627,608 (258)
Excess versions of the Minkowski and Hölder inequalities [PDF]
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Iosif Pinelis
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A converse of Minkowski's inequality
AbstractThe following converse of the classical Minkowski inequality was proved by H.
Horst Alzer, Stephan Ruscheweyh
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An Inequality for Minkowski Matrices [PDF]
Introduction. The class of Minkowski matrices consists of square matrices of the form a -a, where a is the identity matrix and a, with real or complex elements, satisfies the condition (1). The inequality is given in the lemma, which improves the author's previous result [3, p. 239] by removing two restrictions.2 Refinements of the inequality are given
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A Generalization Of The Inequality Of Minkowski [PDF]
Let us suppose that the inequality is true for all the values less or equal to m.
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Cyclic Brunn–Minkowski inequalities for general width and chord-integrals
In this paper, we establish two cyclic Brunn–Minkowski inequalities for the general ith width-integrals and general ith chord-integrals, respectively. Our works bring the cyclic inequality and Brunn–Minkowski inequality together.
Linmei Yu, Yuanyuan Zhang, Weidong Wang
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Averaged Energy Conditions and Quantum Inequalities [PDF]
Connections are uncovered between the averaged weak (AWEC) and averaged null (ANEC) energy conditions, and quantum inequality restrictions on negative energy for free massless scalar fields. In a two-dimensional compactified Minkowski universe, we derive
A. Borde+37 more
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Quantitative stability for the Brunn–Minkowski inequality [PDF]
We prove a quantitative stability result for the Brunn-Minkowski inequality: if $|A|=|B|=1$, $t \in [ ,1- ]$ with $ >0$, and $|tA+(1-t)B|^{1/n}\leq 1+ $ for some small $ $, then, up to a translation, both $A$ and $B$ are quantitatively close (in terms of $ $) to a convex set $K$.
Alessio Figalli, David Jerison
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The Dual Orlicz–Aleksandrov–Fenchel Inequality
In this paper, the classical dual mixed volume of star bodies V˜(K1,⋯,Kn) and dual Aleksandrov–Fenchel inequality are extended to the Orlicz space. Under the framework of dual Orlicz-Brunn-Minkowski theory, we put forward a new affine geometric quantity ...
Chang-Jian Zhao
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Some inequalities for star duality of the radial Blaschke-Minkowski homomorphisms
In 2006, Schuster introduced the radial Blaschke-Minkowski homomorphisms. In this article, associating with the star duality of star bodies and dual quermassintegrals, we establish Brunn-Minkowski inequalities and monotonic inequality for the radial ...
Zhao Xia, Wang Weidong, Lin Youjiang
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On polars of mixed projection bodies [PDF]
Recently, Lutwak established general Minkowski inequality, Brunn–Minkowski inequality and Aleksandrov–Fenchel inequality for mixed projection bodies. In this paper, following Lutwak, we established their polar forms.
Leng, Gang-song, Zhao, Chang-jian
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