On isoperimetric inequalities in Minkowski spaces.
Martini, Horst, Mustafaev, Zokhrab (2010)
Journal of Inequalities and Applications [electronic only]
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Martini, Horst, Mustafaev, Zokhrab (2010)
Journal of Inequalities and Applications [electronic only]
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Mustafaev, Zokhrab (2004)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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Chao Li, Weidong Wang (2020)
Czechoslovak Mathematical Journal
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We establish some inequalities for general width-integrals of Blaschke-Minkowski homomorphisms. As applications, inequalities for width-integrals of projection bodies are derived.
Yuan, Jun, Leng, Gangsong (2006)
Journal of Inequalities and Applications [electronic only]
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Martini, Horst, Mustafaev, Zokhrab (2007)
Beiträge zur Algebra und Geometrie
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Zhao, Chang-Jian, Leng, Gangsong, Debnath, Lokenath (2005)
International Journal of Mathematics and Mathematical Sciences
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Alexander E. Litvak, Vitali D. Milman, Nicole Tomczak-Jaegermann (2010)
Studia Mathematica
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In this note we introduce a notion of essentially-Euclidean normed spaces (and convex bodies). Roughly speaking, an n-dimensional space is λ-essentially-Euclidean (with 0 < λ < 1) if it has a [λn]-dimensional subspace which has further proportional-dimensional Euclidean subspaces of any proportion. We consider a space X₁ = (ℝⁿ,||·||₁) with the property that if a space X₂ = (ℝⁿ,||·||₂) is "not too far" from X₁ then there exists a [λn]-dimensional subspace E⊂ ℝⁿ such that E₁ = (E,||·||₁)...
J. Bourgain (1991)
Geometric and functional analysis
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Mustafaev, Zokhrab (2006)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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Bo Wei, Weidong Wang, Fenghong Lu (2015)
Annales Polonici Mathematici
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We establish Brunn-Minkowski type inequalities for radial Blaschke-Minkowski homomorphisms, which in special cases yield some new results for intersection bodies. Moreover, we obtain two monotonicity inequalities for radial Blaschke-Minkowski homomorphisms.
V. Klee, P. Gritzmann (1992)
Discrete & computational geometry
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Eric L. Grinberg (1991)
Mathematische Annalen
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Fradelizi, Matthieu (1999)
Beiträge zur Algebra und Geometrie
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Annalisa Cesaroni, Matteo Novaga (2017)
Geometric Flows
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We show a quantitative version of the isoperimetric inequality for a non local perimeter of Minkowski type. We also apply this result to study isoperimetric problems with repulsive interaction terms, under volume and convexity constraints.We prove existence of minimizers, and we describe their shape as the volume tends to zero or to infinity.
Sever Dragomir (2016)
Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica
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Some inequalities related to Jensen and Ostrowski inequalities for general Lebesgue integral are obtained. Applications for f-divergence measure are provided as well.
C. Olech (1967)
Colloquium Mathematicae
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