Results 51 to 60 of about 1,027,169 (250)

Duality and calculi without exceptions for convex objects [PDF]

The aim of this paper is to make a contribution to theinvestigation of the roots and essence of convex analysis, and tothe development of the duality formulas of convex calculus.
Brinkhuis, J.
core   +1 more source

Global approximation of convex functions by differentiable convex functions on Banach spaces [PDF]

arXiv, 2014
We show that if $X$ is a Banach space whose dual $X^{*}$ has an equivalent locally uniformly rotund (LUR) norm, then for every open convex $U\subseteq X$, for every $\varepsilon >0$, and for every continuous and convex function $f:U \rightarrow \mathbb{R}$ (not necessarily bounded on bounded sets) there exists a convex function $g:X \rightarrow \mathbb{
arxiv  

Tunable Thermoshrinkable Hydrogels for 4D Fabrication of Cell‐Seeded Channels

Advanced Functional Materials, EarlyView.
A thermoresponsive polymer with methacrylate groups for photo‐cross‐linking, based on polyethylene glycol, N‐isopropylacrylamide, and 2‐hydroxyethyl acrylate is synthetized to yield hydrogels that shrink upon temperature increase. The new polymer enables the fabrication of cell‐laden perfusable channels with diameters below 200 µm by combining ...
Greta Di Marco, Marc Falandt, Myriam Neumann, Martina Viola, Thibault Sampon, Marta G. Valverde, Anne Metje van Genderen, Silvia M. Mihaila, Cornelus F. van Nostrum, Bas G. P. van Ravensteijn, Riccardo Levato, Rosalinde Masereeuw, Tina Vermonden   +12 more
wiley   +1 more source

On random convex analysis

, 2016
Recently, based on the idea of randomizing space theory, random convex analysis has been being developed in order to deal with the corresponding problems in random environments such as analysis of conditional convex risk measures and the related variational problems and optimization problems.
Guo, Tiexin, Zhang, Erxin, Wu, Mingzhi, Yang, Bixuan, Yuan, George, Zeng, Xiaolin   +5 more
openaire   +2 more sources

A Bio‐Inspired Perspective on Materials Sustainability

Advanced Materials, EarlyView.
This perspective discusses natural materials as inspiration for sustainable engineering designs and the processing of materials. First, circularity, longevity, parsimony, and activity are presented as essential material paradigms. The perspective then uses many examples of natural and technical materials to introduce principles such as oligo ...
Wolfgang Wagermaier, Khashayar Razghandi, Peter Fratzl   +2 more
wiley   +1 more source

Convex-transitivity and function spaces [PDF]

arXiv, 2007
If X is a convex-transitive Banach space and 1\leq p\leq \infty then the closed linear span of the simple functions in the Bochner space L^{p}([0,1],X) is convex-transitive. If H is an infinite-dimensional Hilbert space and C_{0}(L) is convex-transitive, then C_{0}(L,H) is convex-transitive. Some new fairly concrete examples of convex-transitive spaces
arxiv  

Epitaxial Ferroelectric Hexagonal Boron Nitride Grown on Graphene

Advanced Materials, EarlyView.
The epitaxial growth of hexagonal boron nitride (h‐BN) multilayer films on graphene, synthesized on a miscut SiC (0001) substrate, is demonstrated using nitrogen plasma‐assisted molecular‐beam epitaxy. Robust ferroelectricity with switchable out‐of‐plane polarization via interlayer sliding is supported by theoretical and experimental insights ...
Sheng‐Shong Wong, Zhen‐You Lin, Sheng‐Zhu Ho, Chih‐En Hsu, Ping‐Hung Li, Ching‐Yu Chen, Yen‐Fu Huang, Kuo‐En Chang, Yu‐Chiang Hsieh, Chia‐Hao Chen, Ming‐Hao Lee, Ming‐Wen Chu, Kuang‐I Lin, Tse‐Ming Chen, Yi‐Chun Chen, Hung‐Chung Hsueh, Cheng‐Maw Cheng, Chung‐Lin Wu   +17 more
wiley   +1 more source

On a conic approach to convex analysis. [PDF]

. The aim of this paper is to make an attempt to justify the main results from Convex Analysis by one elegant tool, the conification method, which consists of three steps: conify, work with convex cones, deconify.
Brinkhuis, J.
core   +1 more source

Convex Analysis and Duality

, 2020
Convexity is an important notion in non linear optimization theory as well as in infinite dimensional functional analysis. As will be seen below, very simple and powerful tools will be derived from elementary duality arguments (which are byproducts of the Moreau-Fenchel transform and Hahn Banach Theorem).
openaire   +2 more sources

Operator log-convex functions and f-divergence functional [PDF]

arXiv, 2013
We present a characterization of operator log-convex functions by using positive linear mappings. Moreover, we study the non-commutative f-divergence functional of operator log-convex functions. In particular, we prove that f is operator log-convex if and only if the non-commutative f-divergence functional is operator log-convex in its first variable ...
arxiv