Results 1 to 10 of about 616,982 (218)
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, 2014 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.
Frenkel Péter, Horváth Péter
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The Brunn–Minkowski Inequality, Minkowski's First Inequality, and Their Duals
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 ...
Richard J. Gardner, Salvatore Vassallo
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Continuous Sharpening of Hölder's and Minkowski's Inequalities [PDF]
Mathematical Inequalities & Applications, 2005 Some properties of functions which in special cases lead to sharpening of Holder's and other interesting inequalities are proved. Results analogue to theorems leading to reverse Holder's inequality are presented.
Shoshana Abramovich +2 more
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The converse theorem for Minkowski's inequality
Indagationes Mathematicae, 2004 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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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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A generalization of Minkowski’s inequality by Hahn integral operator
Journal of Taibah University for Science, 2018 In this paper, we use the Hahn integral operator for the description of new generalization of Minkowski’s inequality. The use of this integral operator definitely generalizes the classical Minkowski’s inequality.
Hasib Khan +4 more
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On The Reverse Minkowski’s Integral Inequality
Kragujevac Journal of Mathematics, 2022 The aim of this work is to obtain the reverse Minkowski integral inequality. For this aim, we first give a proposition which is important for our main results. Then we establish some reverse Minkowski integral inequalities for parameters 0 < p < 1 and p <
Bouharket Benaissa
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