Results 101 to 110 of about 10,934,899 (375)

Hermite-Hadamard type inequalities for r-convex functions in q-calculus

Le Matematiche, 2015
The aim of this work is to establish the q-analogue of Hermite-Hadamard inequalities for convex functions and r-convex functions.
Kamel Brahim, Riahi Latifa, Sabrina Taf
doaj  

A convexity of functions on convex metric spaces of Takahashi and applications [PDF]

arXiv, 2015
We quickly review and make some comments on the concept of convexity in metric spaces due to Takahashi. Then we introduce a concept of convex structure based convexity to functions on these spaces and refer to it as $W-$convexity. $W-$convex functions generalize convex functions on linear spaces. We discuss illustrative examples of (strict) $ W-$convex
arxiv  

Disulfide Glass: An Optical Polymer for Commodity Plastics, Precision Optics, and Photonics

Advanced Functional Materials, EarlyView.
From oil and glass refining to high performance commodity polymers with enhanced thermomechanical and optical properties—the synthesis of a new high refractive index, highly transparent optical thermoset polymer is reported, termed, disulfide glass that affords a robust optical glass amenable to fabrication of precision optics and thin film photonic ...
Jake Molineux, Sam W. Durfee, Ramses Hyde, Matthew C. Malaker, Jacob P. Narr, Kyung‐Jo Kim, Roland Himmelhuber, Young‐Jae Kim, Min‐Gap Bog, Byeongjoon Jeong, Woongbi Cho, Jeong Jae Wie, Nithiyaa Bala Krishnan, Yi Yan Yang, Robert A. Norwood, Jeffrey Pyun   +15 more
wiley   +1 more source

On the convexity of functions

Filomat, 2019
Let A,B, and X be bounded linear operators on a separable Hilbert space such that A,B are positive, X ? ?I, for some positive real number ?, and ? ? [0,1]. Among other results, it is shown that if f(t) is an increasing function on [0,?) with f(0) = 0 such that f(?t) is convex, then ?|||f(?A + (1-?)B) + f(?|A-B|)|||?|||?f(A)X + (1-?)Xf (B ...
Omar Hirzallah, Ata Abu-As’ad
openaire   +3 more sources

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 Tactile Synapses Enabled by Erasable Doping in Iongel‐Gated Nanotube Network Transistors

Advanced Functional Materials, EarlyView.
Artificial tactile synaptic sensors are realized by an iongel‐gated single‐walled carbon nanotube (SWCNT) transistor with reversible doping characteristics. The device senses and memorizes tactile stimuli and exhibits gate bias‐dependent excitatory or inhibitory synaptic behavior.
Yan Huang, Yaoqiang Zhou, Sonja Wieland, Yachen Li, Ni Zhao, Jana Zaumseil   +5 more
wiley   +1 more source

Hermite–Hadamard type inequalities for exponentially p-convex functions and exponentially s-convex functions in the second sense with applications

Journal of Inequalities and Applications, 2019
In this paper, we introduce the notion of exponentially p-convex function and exponentially s-convex function in the second sense. We establish several Hermite–Hadamard type inequalities for exponentially p-convex functions and exponentially s-convex ...
Naila Mehreen, Matloob Anwar
doaj   +1 more source

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  

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

Some result for Hadamard-type inequalities in quantum calculus

Le Matematiche, 2014
In this paper, we establish a q-analogue of Hermite-Hadamard inequalities for some convex type functions.
Kamel Brahim, Sabrina Taf, Latifa Rihahi
doaj