Results 121 to 130 of about 585,914 (312)
Projection and Convolution Operations for Integrally Convex Functions [PDF]
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
Variational aspects of generalized convex functions [PDF]
William T. Reid
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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
Tensor methods for finding approximate stationary points of convex functions. [PDF]
Grapiglia GN, Nesterov Y.
europepmc +1 more source
New integral inequalities via $(α,m)$-convexity and quasi-convexity [PDF]
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
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
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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
Predicting a stationary process when the correlation function is convex [PDF]
Jaroslav Hájek
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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