Results 101 to 110 of about 33,078 (239)
Stability of the Borell–Brascamp–Lieb Inequality for Multiple Power Concave Functions
AxiomsIn this paper, we prove the stability of the Brunn–Minkowski inequality for multiple convex bodies in terms of the concept of relative asymmetry. Using these stability results and the relationship of the compact support of functions, we establish the ...
Meng Qin +4 more
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A Simple Proof of the Hölder and the Minkowski Inequality
The American Mathematical Monthly, 1995 (1995). A Simple Proof of the Holder and the Minkowski Inequality. The American Mathematical Monthly: Vol. 102, No. 3, pp. 256-259.
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On a complementary Minkowski inequality
Journal of Mathematical Analysis and Applications, 1979 AbstractIt is shown that the Brunn-Minkowski inequality can be viewed as a special case of a complementary Minkowski inequality.
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Minkowski’s inequality for the AB-fractional integral operator
Journal of Inequalities and Applications, 2019 Recently, AB-fractional calculus has been introduced by Atangana and Baleanu and attracted a large number of scientists in different scientific fields for the exploration of diverse topics.
Hasib Khan +4 more
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On Minkowski's inequality and its application
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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Generalized Norms Inequalities for Absolute Value Operators
International Journal of Analysis and Applications, 2014 In this article, we generalize some norms inequalities for sums, differences, and products of absolute value operators. Our results based on Minkowski type inequalities and generalized forms of the Cauchy-Schwarz inequality.
Ilyas Ali, Hu Yang, Abdul Shakoor
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Blaschke-Santal\'o inequalities for Minkowski and Asplund endomorphisms [PDF]
, 2021 Georg C. Hofstätter, Franz E. Schuster
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Convexity of solutions and Brunn-Minkowski inequalities for Hessian equations in $\R^3$ [PDF]
, 2011 Paolo Salani
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A Generalization Of The Inequality Of Minkowski
, 2007 Let us suppose that the inequality is true for all the values less or equal to m.
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The Brunn–Minkowski inequality for volume differences
Advances in Applied Mathematics, 2004 Suppose that \(K\), \(L\), \(D\), \(D'\) are compact domains in \(\mathbb{R}^n\) such that \(D\) and \(D'\) are homothetic and convex and \(D\subset K\), \(D'\subset L\). It is proved (in a more general form) that for the volume \(V\) one has \[ ((V(K+ L)- V(D+ D'))^{1/n}\geq (V(K)- V(D))^{1/n}+ (V(L)- V(D'))^{1/n}.
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