Results 91 to 100 of about 32,897 (198)

General Minkowski type and related inequalities for seminormed fuzzy integrals

Sahand 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  

Some Inequalities Combining Rough and Random Information

Entropy, 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

Horocyclic Brunn-Minkowski inequality

Advances 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   +3 more sources

Inequalities of Aleksandrov body

Journal 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

Axioms
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, Zhuohua Zhang, Rui Luo, Mengjie Ren, Denghui Wu   +4 more
doaj   +1 more source

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, Thabet Abdeljawad, Cemil Tunç, Abdulwasea Alkhazzan, Aziz Khan   +4 more
doaj   +1 more source

Minkowski Integral Inequality Revisited

, 2017
We generalize the classical Minkowski integral inequality to the form involving general Banach function norms.
openaire   +2 more sources

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
doaj  

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
doaj   +2 more sources

q-Non uniform difference calculus and classical integral inequalities

Journal of Inequalities and Applications, 2019
We first establish q-non uniform difference versions of the integral inequalities of Hölder, Cauchy–Schwarz, and Minkowski of classical mathematical analysis and then integral inequalities of Grönwall and Bernoulli based on the Lagrange method of linear ...
Gaspard Bangerezako, Jean Paul Nuwacu, Enas M Shehata   +2 more
doaj   +1 more source