Results 71 to 80 of about 26,475,004 (287)

Small sets in convex geometry and formal independence over ZFC

Abstract and Applied Analysis, 2005
To each closed subset S of a finite-dimensional Euclidean space corresponds a σ-ideal of sets 𝒥 (S) which is σ-generated over S by the convex subsets of S. The set-theoretic properties of this ideal hold geometric information about the set.
Menachem Kojman
doaj   +1 more source

Phase Diagrams Enable Solid‐State Battery Design

Advanced Materials Interfaces, EarlyView.
Batteries are non‐equilibrium devices with inherent thermodynamic driving forces to react at interfaces, regardless of kinetics or operating conditions. Chemical potential mismatches across interfaces are dissipated via interfacial reactions. In this work, it is illustrated how phase diagrams and chemical potential maps predict degradation pathways but
Nathaniel L. Skeele, Matthias T. Agne
wiley   +1 more source

The canonical partial metric and the uniform convexity on normed spaces

Applied General Topology, 2005
In this paper we introduce the notion of canonical partial metric associated to a norm to study geometric properties of normed spaces. In particular, we characterize strict convexity and uniform convexity of normed spaces in terms of the canonical ...
S. Oltra, Salvador Romaguera, E.A. Sánchez-Pérez   +2 more
doaj   +1 more source

THE HADAMARD INEQUALITIES FOR s-CONVEX FUNCTIONS IN THE SECOND SENSE

Demonstratio Mathematica, 1999
Let \(0< s\leq 1\). The function \(f: I\subset[0, \infty)\to \mathbb{R}\) is called \(s\)-convex in the second sense provided \(f(au+ bv)\leq a^sf(u)+ b^sf(v)\) for all \(u,v\in I\), \(a,b\geq 0\), \(a+ b=1\). These functions have been introduced by \textit{H. Hudzik} and \textit{L. Maligranda} [Aequationes Math. 48, No.
Dragomir, Sever S., Fitzpatrick, Simon
openaire   +1 more source

Association of Jensen’s inequality for s-convex function with Csiszár divergence [PDF]

Journal of Inequalities and Applications, 2019
En el artículo, establecemos una desigualdad para la divergencia de Csiszár asociada con funciones s-convexas, presentamos varias desigualdades para Kullback–Leibler, Renyi, Hellinger, Chi-cuadrado, Jeffery y divergencias de distancia variacional mediante el uso de funciones s-convexas particulares en la divergencia de Csiszár.
Muhammad Adil Khan, Muhammad Fainan Hanif, Zareen A. Khan, Khurshid Ahmad, Yu‐Ming Chu   +4 more
openaire   +2 more sources

A U‐shaped Microfluidic Platform for Culturing Vascularized Colorectal Cancer Spheroids Reveals Tumor–Endothelial Crosstalk and Invasion‐Associated Remodeling

Advanced Materials Technologies, EarlyView.
A closed U‐shaped microfluidic platform symmetrically embeds a single, size‐controlled HT29 colorectal cancer spheroid within a GFP‐HUVEC‐laden fibrin matrix. HT29 spheroids are associated with hyper‐branched endothelial network remodeling, while vascularized co‐culture is accompanied by anisotropic protrusive growth and EMT‐like marker changes in the ...
G. Cretti, M. Ballerini, A. Mantegazza, P. Occhetta, M. Rasponi   +4 more
wiley   +1 more source

Corrected Euler-Maclaurin-type inequalities for twice differentiable and h-convex functions

Boundary Value Problems
In this study, we establish Corrected Euler-Maclaurin-type inequalities for h-convex functions using Riemann-Liouville fractional operators on the cone of twice-differentiable functions.
Bouharket Benaissa, Noureddine Azzouz, Hüseyin Budak, Fatih Hezenci   +3 more
doaj   +1 more source

Characterizing Convexity of Games using Marginal Vectors [PDF]

In this paper we study the relation between convexity of TU games and marginal vectors.We show that if specfic marginal vectors are core elements, then the game is convex.We characterize sets of marginal vectors satisfying this property, and we derive ...
Velzen, S. van, Norde, H.W., Hamers, H.J.M.   +2 more
core  

Moisture‐Adaptive Triboelectric Materials and Platforms: Design Strategies, Performance Enhancement, and Applications in Energy Harvesting and Wearable Electronics

Advanced Materials Technologies, EarlyView.
This review summarizes moisture‐adaptive strategies that enable triboelectric nanogenerators (TENGs) to operate across diverse moisture conditions. It examines moisture‐management methods, including exclusion, directional transport, removal, and utilization, with charge‐regulation approaches based on interfacial, dielectric, and structural engineering.
Junzhe Gan, Zhao Sha, Xuehua Zhang, Hoang‐Phuong Phan, Jin Zhang   +4 more
wiley   +1 more source

Majorization-type inequalities for (m, M, ψ)-convex functions with applications

Open Mathematics
In 2001, S. S. Dragomir introduced a generalized class of convexity, the so-called (m,M,ψ)\left(m,M,\psi )-convex functions, which covers many other classes of convexity.
Dragomir Silvestru Sever, Bradanović Slavica Ivelić, Lovričević Neda   +2 more
doaj   +1 more source