Results 11 to 20 of about 466,424 (157)
The Brunn–Minkowski Inequality, Minkowski's First Inequality, and Their Duals [PDF]
Journal of Mathematical Analysis and Applications, 2000 Let \(K,L\) be convex bodies in Euclidean space \(\mathbb{E}^n\) with volumes \(V(K)=V(L)=1\), and let \(V_1(K,L)\) denote the mixed volume \(V(K, \dots, K,L)\). Then \[ V(K+L)^{1/n} -2\leq V_1(K,L) -1\leq {1\over n}\bigl(V(K+L)-2^n \bigr). \] These inequalities provide a quantitative improvement of the known equivalence of the Brunn-Minkowski ...
Vassallo, Salvatore Flavio +1 more
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A converse of Minkowski's inequality [PDF]
Discrete Mathematics, 2000 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Horst Alzer, Stephan Ruscheweyh
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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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Real Interpolation for mixed Lorentz spaces and Minkowski's inequality [PDF]
, 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 ...
Mandel, Rainer
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Cyclic Refinements of the Discrete Hölder's Inequality with Applications [PDF]
, 2020 In this paper we obtain refinements of the discrete Hölder's and Minkowski's inequalities for finite and infinite sequences by using cyclic refinements of the discrete Jensen's ...
Pečarić, J., Butt, S. I., Horváth, L.
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Axioms, 2022 In this article, we establish several new generalized Hardy-type inequalities involving several functions on time-scale nabla calculus. Furthermore, we derive some new multidimensional Hardy-type inequalities on time scales nabla calculus.
A. I. Saied +4 more
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A Note about Young’s Inequality with Different Measures
International Journal of Mathematics and Mathematical Sciences, 2022 The key purpose of this paper is to work on the boundedness of generalized Bessel–Riesz operators defined with doubling measures in Lebesgue spaces with different measures.
Saba Mehmood +2 more
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On Isoperimetric Inequalities in Minkowski Spaces [PDF]
Journal of Inequalities and Applications, 2010 This paper gives a collection of isoperimetric-type inequalities involving convex bodies, their intersection and projection bodies, polars and Steiner symmetrals, and states some conjectures and open questions. It is shown how some of these inequalities are related to classic isoperimetric problems in Minkowski geometry.
Mustafaev Zokhrab, Martini Horst
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A nonabelian Brunn–Minkowski inequality
Geometric and Functional Analysis, 2023 AbstractHenstock and Macbeath asked in 1953 whether the Brunn–Minkowski inequality can be generalized to nonabelian locally compact groups; questions along the same line were also asked by Hrushovski, McCrudden, and Tao. We obtain here such an inequality and prove that it is sharp for helix-free locally compact groups, which includes real linear ...
Jing, Y, Tran, C-M, Zhang, R
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On Generalizations of Hölder's and Minkowski's Inequalities
, 2023 We present the generalizations of Hölder's inequality and Minkowski's inequality along with the generalizations of Aczel's, Popoviciu's, Lyapunov's and Bellman's inequalities.
SELAMET, UĞUR
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