Results 71 to 80 of about 32,897 (198)
Dual Orlicz geominimal surface area
Journal of Inequalities and Applications, 2016 The L p $L_{p}$ -geominimal surface area was introduced by Lutwak in 1996, which extended the important concept of the geominimal surface area. Recently, Wang and Qi defined the p-dual geominimal surface area, which belongs to the dual Brunn-Minkowski ...
Tongyi Ma, Weidong Wang
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Robust Inverse Material Design With Physical Guarantees Using the Voigt‐Reuss Net
International Journal for Numerical Methods in Engineering, Volume 127, Issue 7, 15 April 2026.ABSTRACT We apply the Voigt‐Reuss net, a spectrally normalized neural surrogate introduced in [38], for forward and inverse mechanical homogenization with a key guarantee that all predicted effective stiffness tensors satisfy Voigt‐Reuss bounds in the Löwner sense during training, inference, and gradient‐driven optimization.
Sanath Keshav, Felix Fritzen
wiley +1 more source
A Converse of Minkowski's Type Inequalities
Journal of Inequalities and Applications, 2010 Let \(p>0, q>0,\) and \(a_{ij}\geq 0\, (i=1,\dots,m;j=1,\dots,n)\) be real numbers. Then for \(p\geq 1\) the (converse Minkowski) inequality \[ \sum_{i=1}^m\left(\sum_{j=1}^n a_{ij}^p\right)^{1/p}\leq C\left(\sum_{j=1}^n\left(\sum_{i=1}^m a_{ij}^q\right)^{p/q}\right)^{1/p} \] holds, where \(C=C(m,n,p,q)\) is a positive constant whose dependence on its ...
Kalaj David, Meštrović Romeo
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Inequalities for dual affine quermassintegrals
Journal of Inequalities and Applications, 2006 For star bodies, the dual affine quermassintegrals were introduced and studied in several papers. The aim of this paper is to study them further. In this paper, some inequalities for dual affine quermassintegrals are established, such as the Minkowski ...
Jun Yuan, Gangsong Leng
doaj
Universal Entanglement and an Information‐Complete Quantum Theory
Advanced Physics Research, Volume 5, Issue 4, April 2026.This Perspective summarize an informationcomplete quantum theory which describes a fully quantum world without any classical systems and concepts. Here spacetime/gravity, having to be a physical quantum system, universally entangles matter (matter fermions and their gauge fields) as an indivisible trinity, and encodes information‐complete physical ...
Zeng‐Bing Chen
wiley +1 more source
Journal of Function Spaces, 2020 We use the properties of superquadratic functions to produce various improvements and popularizations on time scales of the Hardy form inequalities and their converses.
H. M. Rezk +4 more
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Conjugate functions, L^{p}-norm like functionals, the generalized Hölder inequality, Minkowski inequality and subhomogeneity [PDF]
Opuscula Mathematica, 2014 For \(h:(0,\infty )\rightarrow \mathbb{R}\), the function \(h^{\ast }\left( t\right) :=th(\frac{1}{t})\) is called \((\ast)\)-conjugate to \(h\). This conjugacy is related to the Hölder and Minkowski inequalities.
Janusz Matkowski
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Isoperimetric inequalities on slabs with applications to cubes and Gaussian slabs
Communications on Pure and Applied Mathematics, Volume 79, Issue 4, Page 1012-1072, April 2026.Abstract We study isoperimetric inequalities on “slabs”, namely weighted Riemannian manifolds obtained as the product of the uniform measure on a finite length interval with a codimension‐one base. As our two main applications, we consider the case when the base is the flat torus R2/2Z2$\mathbb {R}^2 / 2 \mathbb {Z}^2$ and the standard Gaussian measure
Emanuel Milman
wiley +1 more source
Continuous Sharpening of Hölder's and Minkowski's Inequalities [PDF]
Mathematical Inequalities & Applications, 2005 Some properties of functions which in special cases lead to sharpening of Holder's and other interesting inequalities are proved. Results analogue to theorems leading to reverse Holder's inequality are presented.
Abramovich, S. +2 more
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Ostrowski Type Inequalities for s-Convex Functions via q-Integrals
Journal of Function Spaces, 2022 The new outcomes of the present paper are q-analogues (q stands for quantum calculus) of Hermite-Hadamard type inequality, Montgomery identity, and Ostrowski type inequalities for s-convex mappings.
Khuram Ali Khan +4 more
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