Results 111 to 120 of about 627,608 (258)

Some Inequalities Combining Rough and Random Information

open access: yesEntropy, 2018
Rough random theory, generally applied to statistics, decision-making, and so on, is an extension of rough set theory and probability theory, in which a rough random variable is described as a random variable taking “rough variable” values.
Yujie Gu, Qianyu Zhang, Liying Yu
doaj   +1 more source

The dimensional Brunn–Minkowski inequality in Gauss space [PDF]

open access: yesJournal of Functional Analysis, 2020
Alexandros Eskenazis, Georgios Moschidis
semanticscholar   +1 more source

Equivalence of the Hölder-Rogers and Minkowski Inequalities [PDF]

open access: yesMathematical Inequalities & Applications, 2001
It is well-known that the Holder-Rogers inequality implies the Minkowski inequality. Infantozzi [6] observed implicitely and Royden [15] proved explicitely that the reverse implication is also true ...
openaire   +3 more sources

General Minkowski type and related inequalities for seminormed fuzzy integrals

open access: yesSahand Communications in Mathematical Analysis, 2014
Minkowski type inequalities for the seminormed fuzzy integrals on abstract spaces are studied in a rather general form. Also related inequalities to Minkowski type inequality for the seminormed fuzzy integrals on abstract spaces are studied.
Bayaz Daraby, Fatemeh Ghadimi
doaj  

Horocyclic Brunn-Minkowski inequality

open access: yesAdvances in Mathematics
Given two non-empty subsets $A$ and $B$ of the hyperbolic plane $\mathbb{H}^2$, we define their horocyclic Minkowski sum with parameter $λ=1/2$ as the set $[A:B]_{1/2} \subseteq \mathbb{H}^2$ of all midpoints of horocycle curves connecting a point in $A$ with a point in $B$.
Assouline, Rotem, Klartag, Bo'az
openaire   +2 more sources

Inequalities of Aleksandrov body

open access: yesJournal of Inequalities and Applications, 2011
A new concept of p-Aleksandrov body is firstly introduced. In this paper, p-Brunn-Minkowski inequality and p-Minkowski inequality on the p-Aleksandrov body are established.
Yan Hu, Junhua Jiang
doaj  

Stability of the Borell–Brascamp–Lieb Inequality for Multiple Power Concave Functions

open access: yesAxioms
In 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
doaj   +1 more source

Minkowski’s inequality for the AB-fractional integral operator

open access: yesJournal 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
doaj   +1 more source

A Simple Proof of the Hölder and the Minkowski Inequality

open access: yesThe 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.
openaire   +4 more sources

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