Results 191 to 200 of about 616,982 (218)

More on reverses of Minkowski’s inequalities and Hardy’s integral inequalities

Asian-European Journal of Mathematics, 2018
In 2012, Sulaiman [Reverses of Minkowski’s, Hölder’s, and Hardy’s integral inequalities, Int. J. Mod. Math. Sci. 1(1) (2012) 14–24] proved integral inequalities concerning reverses of Minkowski’s and Hardy’s inequalities.
Bouharket Benaissa
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Companions to the Brunn–Minkowski inequality

Positivity
Let \(\mathcal{C}\) be the family of all compact convex sets in \(\mathbb{R}^n\). For \(A, B \in \mathcal{C}\) denote by \(\operatorname{Vol}(A)\) the Lebesque measure of \(A\) and by \(\Delta (A,B) = \big[\operatorname{Vol}(A)\big]^{1/n} + \big[\operatorname{Vol}(B)\big]^{1/n} - \big[\operatorname{Vol}(A + B)\big]^{1/n}\). An \((m + 1)\)-tuple \((B_0,
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More Generalizations of Hartfiel’s Inequality and the Brunn–Minkowski Inequality

Bulletin of the Iranian Mathematical Society, 2020
Let \(A,B\in\mathbb{C}^{n\times n}\) be positive definite. Minkowski's determinant inequality (also known as the matrix form of the Brunn-Minkowski inequality) states that \[ (\det{(A+B)})^\frac{1}{n}\ge(\det{A})^\frac{1}{n}+(\det{B})^\frac{1}{n}. \] It has several refinements and generalizations. Some of them are extended to sector matrices. A matrix \
Dong, Sheng, Wang, Qing-Wen
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Brunn-Minkowski inequality

2000
This section is basic for our further considerations and is devoted to those convex sets which lie in finite-dimensional topological vector spaces. As mentioned in the previous section, if E is an arbitrary finite-dimensional (Hausdorff) topological vector space, then E is isomorphic to some Euclidean space R n .
V. V. Buldygin, A. B. Kharazishvili
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Inequalities of Minkowski type

Real analysis exchange, 1994
Let f be a real nonnegative, nondecreasing function defined on segment a, b, and x_i are nonnegative nondecreasing functions with continuous first derivative. If p>1, then (\int_a^b (\sum_{; ; i=1}; ; ^n x_i^p(t))'f(t)dt)^{; ; 1/p}; ; \geq \sum_{; ; i=1}; ; ^n (\int_a^b (x_i^p(t))'f(t)dt)^{; ; 1/p}; ; .
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A (⋆, ∗)-Based Minkowski’s Inequality for Sugeno Fractional Integral of Order α > 0

, 2015
A. Babakhani, H. Agahi, R. Mesiar
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Sensitivity Analysis of Fuzzy Signatures Using Minkowski’s Inequality

, 2015
I. Harmati, Á. Bukovics, L. Kóczy
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Fast full search in motion estimation by hierarchical use of Minkowski's inequality (HUMI)

Pattern Recognition, 1998
Jinyun Lu, Kuang-Shyr Wu, Ja-Chen Lin
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The Minkowski’s inequalities via $$\psi$$-Riemann–Liouville fractional integral operators

Rendiconti del Circolo Matematico di Palermo Series 2, 2020
Tariq A. Aljaaidi, D. Pachpatte
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A generalization of Minkowski's inequality for plane convex sets

, 1979
G. Chakerian, J. Sangwine-Yager
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