Results 61 to 70 of about 627,608 (258)

New Minkowski type inequalities and entropic inequalities for quantum states of qudits

, 2014
The two-parameter Minkowski like inequality written for composite quantum system state is obtained for arbitrary Hermitian nonnegative matrix with trace equal to unity.
Man'ko, V. I., Markovich, L. A.
core   +1 more source

Generalizations of Minkowski and Beckenbach–Dresher Inequalities and Functionals on Time Scales

International Journal of Analysis and Applications, 2020
We generalize integral forms of the Minkowski inequality and Beckenbach–Dresher inequality on time scales. Also, we investigate a converse of Minkowski’s inequality and several functionals arising from the Minkowski inequality and the Beckenbach–Dresher ...
Rabia Bibi, Anees Ur Rahman, Muhammad Shahzad   +2 more
doaj  

On the Brunn-Minkowski inequality for general measures with applications to new isoperimetric-type inequalities [PDF]

, 2015
In this paper we present new versions of the classical Brunn-Minkowski inequality for different classes of measures and sets. We show that the inequality \[ \mu(\lambda A + (1-\lambda)B)^{1/n} \geq \lambda \mu(A)^{1/n} + (1-\lambda)\mu(B)^{1/n} \] holds
G. Livshyts, Arnaud Marsiglietti, P. Nayar, A. Zvavitch   +3 more
semanticscholar   +1 more source

Triangulations and a Discrete Brunn–Minkowski Inequality in the Plane [PDF]

Discrete & Computational Geometry, 2018
For a set A of points in the plane, not all collinear, we denote by tr(A)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek ...
K. Böröczky, M. Matolcsi, I. Ruzsa, F. Santos, O. Serra   +4 more
semanticscholar   +1 more source

Volumes of Restricted Minkowski Sums and the Free Analogue of the Entropy Power Inequality

, 1995
In noncommutative probability theory independence can be based on free products instead of tensor products. This yields a highly noncommutative theory: free probability .
A.J. Stam, D. Voiculescu, D. Voiculescu, Dan Voiculescu, E.A. Carlen, G. Pisier, H.J. Brascamp, N.M. Blachman, R. Schneider, Stanislaw J. Szarek   +9 more
core   +1 more source

New Minkowski and related inequalities via general kernels and measures

Journal of Inequalities and Applications, 2023
In this article, we introduce a class of functions U ( p ) $\mathfrak{U}(\mathfrak{p})$ with integral representation defined over a measure space with σ-finite measure. The main purpose of this paper is to extend the Minkowski and related inequalities by
Sajid Iqbal, Muhammad Samraiz, Muhammad Adil Khan, Gauhar Rahman, Kamsing Nonlaopon   +4 more
doaj   +1 more source

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.
openaire   +2 more sources

The logarithmic Minkowski inequality for cylinders

, 2022
13 ...
Tao, Jiangyan, Xiong, Ge, Xiong, Jiawei
openaire   +2 more sources

Refinements of the Jensen Inequality and Estimates of the Jensen Gap Based on Interval‐Valued Functions

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT The significance of the Jensen inequality stems from its impactful and compelling outcomes. As a generalization of classical convexity, it plays a key role in deriving other well‐known inequalities such as Hermite–Hadamard, Hölder, Minkowski, arithmetic‐geometric, and Young's inequalities.
İzzettin Demir
wiley   +1 more source

Some New Integral Inequalities for Several Kinds of Convex Functions [PDF]

, 2012
In this study, we obtain some new integral inequalities for different classes of convex functions by using some elementary inequalities and classical inequalities like general Cauchy inequality and Minkowski ...
Ahmet, Alper Ekinci, M. Emin Özdemir, Ocak Akdemir   +3 more
core