Results 121 to 130 of about 585,914 (312)

Projection and Convolution Operations for Integrally Convex Functions [PDF]

open access: yesarXiv, 2017
This paper considers projection and convolution operations for integrally convex functions, which constitute a fundamental function class in discrete convex analysis. It is shown that the class of integrally convex functions is stable under projection, and this is also the case with the subclasses of integrally convex functions satisfying local or ...
arxiv  

Anti‐icing Performance of Superhydrophobic Surfaces with Periodic Micro‐nano Structures Directly Induced by Femtosecond Laser

open access: yesAdvanced Materials Interfaces, EarlyView.
This study provides a femtosecond laser etching method for preparing superhydrophobic anti‐icing surfaces, which directly induces periodic micro‐nano structures on the laser scanning path, eliminating the complicated steps of designing hydrophobic patterns.
Zhenyu Li   +7 more
wiley   +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  

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

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

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

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