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Minkowski–Bellman inequality and equation
Automatica, 2021Abstract This note introduces, and studies, the Minkowski–Bellman inequality and equation. The necessary and sufficient conditions for the characterization and existence of Minkowski functions that satisfy the Minkowski–Bellman inequality, and for the characterization and existence of the unique Minkowski function that satisfies the Minkowski–Bellman
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Higher index symplectic capacities do not satisfy the symplectic Brunn-Minkowski inequality
Israel Journal of Mathematics, 2021E. Kerman, Yuanpu Liang
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An Improvement of Minkowski’s Inequality for Sums
Advanced Materials Research, 2014In the paper, we establish an improvement of Minkowski inequality for sums. Its reverse version is also given.).
Guang Sheng Chen, Hui Yu Tang
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The Orlicz Brunn–Minkowski Inequality for the Projection Body
Journal of Geometric Analysis, 2020Du Zou, Ge Xiong
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Inequalities of Minkowski type
Real analysis exchange, 1994Let 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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Hölder’s Inequality, Minkowski’s Inequality and Their Variants
2012In this chapter we’ll introduce two very useful inequalities with broad practical usage: Holder’s inequality and Minkowski’s inequality. We’ll also present few variants of these inequalities. For that purpose we will firstly introduce the following theorem.
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Digital finance and sustainable development: Evidence from environmental inequality in China
Business Strategy and the Environment, 2022Guoxiang Li, Rong Zhang
exaly
More Generalizations of Hartfiel’s Inequality and the Brunn–Minkowski Inequality
, 2020S. Dong, Qingwen Wang
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Fubini theorem and generalized Minkowski inequality for the pseudo-integral
International Journal of Approximate Reasoning, 2020Deli Zhang, E. Pap
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A simple proof of the Minkowski inequality
1992The most common proof of the Minkowski inequality is via the Holder inequality. Here is a short direct proof.
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