Results 21 to 30 of about 485,503 (210)

The Brunn-Minkowski inequality and the Heisenberg group [PDF]

open access: yes, 2023
openThe core of this thesis is the Brunn-Minkowski inequality. We start proving the general version of the Brunn-Minkowski inequality in the Euclidean space, then we investigate the validity of a "geodesic" version of the Brunn-Minkowski inequality in ...
BENETTON, GIOELE
core  

Log-Minkowski inequalities for the Lp $L_{p}$-mixed quermassintegrals

open access: yesJournal of Inequalities and Applications, 2019
Böröczky et al. proposed the log-Minkowski problem and established the plane log-Minkowski inequality for origin-symmetric convex bodies. Recently, Stancu proved the log-Minkowski inequality for mixed volumes; Wang, Xu, and Zhou gave the Lp $L_{p ...
Chao Li, Weidong Wang
doaj   +1 more source

Smarandache Breadth Pseudo Null Curves in Minkowski Space-time [PDF]

open access: yes, 2009
A regular curve with more than 2 breadths in Minkowski 3-space is called a Smarandache Breadth Curve [8]. In this short paper, we adapt notion of Smarandache breadth curves to Pseudo null curves in Minkowski space-time and study a special case of ...
Turgut, Melih, Melih Turgut
core   +1 more source

Smarandache Curves in Minkowski Space-time [PDF]

open access: yes, 2008
A regular curve in Minkowski space-time, whose position vector is composed by Frenet frame vectors on another regular curve, is called a Smarandache Curve.
Turgut, Melih   +3 more
core   +1 more source

q-Hardy type inequalities for quantum integrals

open access: yesAdvances in Difference Equations, 2021
The aim of this work is to obtain quantum estimates for q-Hardy type integral inequalities on quantum calculus. For this, we establish new identities including quantum derivatives and quantum numbers.
Necmettin Alp, Mehmet Zeki Sarikaya
doaj   +1 more source

Refinements of the Converse Hölder and Minkowski Inequalities

open access: yesMathematics, 2022
We give a refinement of the converse Hölder inequality for functionals using an interpolation result for Jensen’s inequality. Additionally, we obtain similar improvements of the converse of the Beckenbach inequality.
Josip Pečarić   +2 more
doaj   +1 more source

Orlicz Mean Dual Affine Quermassintegrals

open access: yesJournal of Function Spaces, 2018
Our main aim is to generalize the mean dual affine quermassintegrals to the Orlicz space. Under the framework of dual Orlicz-Brunn-Minkowski theory, we introduce a new affine geometric quantity by calculating the first Orlicz variation of the mean dual ...
Chang-Jian Zhao, Wing-Sum Cheung
doaj   +1 more source

Cyclic Brunn–Minkowski inequalities for general width and chord-integrals

open access: yesJournal of Inequalities and Applications, 2019
In this paper, we establish two cyclic Brunn–Minkowski inequalities for the general ith width-integrals and general ith chord-integrals, respectively. Our works bring the cyclic inequality and Brunn–Minkowski inequality together.
Linmei Yu, Yuanyuan Zhang, Weidong Wang
doaj   +1 more source

Characterizations of Some Special Space-like Curves in Minkowski Space-time [PDF]

open access: yes, 2008
In this work, a system of differential equation on Minkowski space-time, a special case of Smarandache geometries, whose solution gives the components of a space-like curve on Frenet axis is constructed by means of Frenet equations.
Turgut, Melih, Yilmaz, Suha
core   +1 more source

The Dual Orlicz–Aleksandrov–Fenchel Inequality

open access: yesMathematics, 2020
In this paper, the classical dual mixed volume of star bodies V˜(K1,⋯,Kn) and dual Aleksandrov–Fenchel inequality are extended to the Orlicz space. Under the framework of dual Orlicz-Brunn-Minkowski theory, we put forward a new affine geometric quantity ...
Chang-Jian Zhao
doaj   +1 more source

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