Results 141 to 150 of about 10,934,899 (375)

Dual ${M}$ -Convex Variable Subsets Family and Extremum Analysis for the OPF Problem

open access: yesIEEE Access, 2018
The optimal power flow (OPF) model is a central optimization problem in power system network. In this paper, we propose a novel approach to solve the OPF problem that has a convex objective function and non-convex feasible domain due to the constraints ...
Liulin Yang, Naishan Hang, Zhi Wei
doaj   +1 more source

New integral inequalities via $(α,m)$-convexity and quasi-convexity [PDF]

open access: yesarXiv, 2012
In this paper, we establish some new integral inequalities for $(\alpha, m)-$convex functions and quasi-convex functions, respectively. Our results in special cases recapture known results.
arxiv  

Fast Prototyping and Ex Vivo Evaluation of Dissolvable Millineedle Patches Made by Solvent Casting from CO2 Laser Ablated Elastomer Molds

open access: yesAdvanced Materials Interfaces, EarlyView.
CO2 laser ablation, a fast, inexpensive, and reproducible method, is used to create flexible elastomer molds with millimeter‐long cavities for the fabrication of dissolvable polymer needles. Made from PVP, these milli‐needles achieve ≈560 µm penetration into porcine skin, demonstrating their potential for effective transdermal drug delivery.
Matteo Tollemeto   +7 more
wiley   +1 more source

A characterization of convex function

open access: yesApplied Mathematics Letters, 2000
AbstractIf C ⊆ Rn be a nonempty convex set, then f: C → R is convex function if and only if it is a quasiconvex function on C and there exists some α ∈ (0, 1) such that f(ax+1(1−α)y)≤αf(x)+(1−α)f(y), ∀x,y ϵC.
Xiaoqi Yang, Kok Lay Teo, Xinmin Yang
openaire   +2 more sources

Carbon Dot‐Doped Silica Xerogel Phosphors Excited by Blue LEDs and LDs for the Brilliant White Lighting of Endoscope Tips

open access: yesAdvanced Materials Interfaces, EarlyView.
Carbon dot‐doped silica xerogel phosphors derived by Sol–Gel method exhibit brilliant white light, making them promising candidates for next‐generation endoscopes. The approach offers a sustainable, scalable solution for the development of advanced endoscopic devices with enhanced imaging capabilities and reduced environmental impacts.
Hirohisa Iwabayashi   +5 more
wiley   +1 more source

A Note on Optimality Conditions for DC Programs Involving Composite Functions

open access: yesAbstract and Applied Analysis, 2014
By using the formula of the ε-subdifferential for the sum of a convex function with a composition of convex functions, some necessary and sufficient optimality conditions for a DC programming problem involving a composite function are obtained.
Xiang-Kai Sun, Hong-Yong Fu
doaj   +1 more source

Convex-transitivity and function spaces [PDF]

open access: yesarXiv, 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  

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