Results 1 to 10 of about 634,955 (209)
On Minkowski's inequality and its application [PDF]
Journal of Inequalities and Applications, 2011 In the paper, we first give an improvement of Minkowski integral inequality. As an application, we get new Brunn-Minkowski-type inequalities for dual mixed volumes.
Cheung Wing-Sum, Zhao Chang-Jian
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A Converse of Minkowski's Type Inequalities [PDF]
Journal of Inequalities and Applications, 2010 We formulate and prove a converse for a generalization of the classical Minkowski's inequality. The case when is also considered. Applying the same technique, we obtain an analog converse theorem for integral Minkowski's type inequality.
Kalaj David, Meštrović Romeo
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Minkowski's inequality and sums of squares [PDF]
Open Mathematics, 2012 Positive polynomials arising from Muirhead’s inequality, from classical power mean and elementary symmetric mean inequalities and from Minkowski’s inequality can be rewritten as sums of squares.
Péter E. Frenkel, Péter Horváth
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The Extremals of Minkowski's Quadratic Inequality [PDF]
Duke Mathematical Journal, 2019 In a seminal paper "Volumen und Oberfl\"ache" (1903), Minkowski introduced the basic notion of mixed volumes and the corresponding inequalities that lie at the heart of convex geometry.
Yair Shenfeld, Ramon van Handel
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The Brunn–Minkowski Inequality, Minkowski's First Inequality, and Their Duals
Journal of Mathematical Analysis and Applications, 2000 Quantitative versions are given of the equivalence of the Brunn–Minkowski inequality and Minkowski's first inequality from the Brunn–Minkowski theory. Similar quantitative versions are obtained of the equivalence of the corresponding inequalities from ...
Richard J. Gardner, Salvatore Vassallo
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The converse theorem for Minkowski's inequality
Indagationes Mathematicae, 2004 AbstractLet (Ω, Σ, μ) be a measure space and ϕ, ψ : (0, ∞) → (0, ∞) some bijective functions. Suppose that the functional Pϕ,ψ defined on class of μ-integrable simple functions χ : Ω → [0, ∞), μ({ϖ : χ(ϕ) > 0} > 0, by the formula Pϕ,ψ(χ) = ψ∫{χ>0}ϕo χdμ satisfies the triangle inequality. We prove that if there are A, B ϵ Σ such that 0 < μ(A) < 1 < μ(B)
Janusz Matkowski
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Real interpolation for mixed Lorentz spaces and Minkowski's inequality [PDF]
Zeitschrift für Analysis und ihre Anwendungen, 2023 We prove embeddings and identities for real interpolation spaces between mixed Lorentz spaces. This partly relies on Minkowski's (reverse) integral inequality in Lorentz spaces $L^{p,r}(X)$ under optimal assumptions on the exponents $(p,r)\in (0,\infty ...
Rainer Mandel
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Lattice (List) Decoding Near Minkowski's Inequality [PDF]
IEEE Transactions on Information Theory, 2020 Minkowski proved that any $n$ -dimensional lattice of unit determinant has a nonzero vector of Euclidean norm at most $\sqrt {n}$ ; in fact, there are $2^{\Omega (n)}$ such lattice vectors.
Ethan Mook, Chris Peikert
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New generalization of reverse Minkowski's inequality for fractional integral
Advances in the Theory of Nonlinear Analysis and its Application, 2021 In this research, we introduce some new fractional integral inequalities of Minkowski’s type by using Riemann-Liouville fractional integral operator. We replace the constants that appear on Minkowski’s inequality by two positive functions.
Tariq A. Aljaaidi +1 more
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The Minkowski's inequality by means of a generalized fractional integral [PDF]
, 2017 We use the definition of a fractional integral, recently proposed by Katugampola, to establisha generalization of the reverse Minkowski’s inequality. We show two new theorems associatedwith this inequality, as well as state and show other inequalities ...
J. Vanterler da C. Sousa +1 more
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