Results 81 to 90 of about 3,021,068 (290)
Inequalities via convex functions
International Journal of Mathematics and Mathematical Sciences, 1999 A general inequality is proved using the definition of convex functions. Many major inequalities are deduced as applications.
I. A. Abou-Tair, W. T. Sulaiman
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Jensen's Inequality for Quasiconvex Functions [PDF]
, 2009 Some inequalities of Jensen type and connected results are given for quasiconvex functions on convex sets in real linear ...
Pearce, Charles E. M, Dragomir, Sever S
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High‐Efficiency Quantum Defect Generation in Carbon Nanotubes via Oxygen‐Free Photochemistry
Advanced Functional Materials, EarlyView.We show that oxygen plays an important role in quantum defect formation in carbon nanotubes and identify reaction conditions to create a range of different quantum defects for photonics and biosensing. ABSTRACT Single‐walled carbon nanotubes (SWCNTs) offer potential for a wide range of applications from optoelectronic devices to biomedical diagnostics.
Christina Derichsweiler +6 more
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A Characterization of Convex Functions [PDF]
The American Mathematical Monthly, 2018 Let $D$ be a convex subset of a real vector space. It is shown that a radially lower semicontinuous function $f: D\to \mathbf{R}\cup \{+\infty\}$ is convex if and only if for all $x,y \in D$ there exists $α=α(x,y) \in (0,1)$ such that $f(αx+(1-α)y) \le αf(x)+(1-α)f(y)$.
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Advanced Functional Materials, EarlyView.A degradable, skin‐conformal bioelectronic patch combines a starch‐dominated nanocomposite conductor with a gelatin substrate to enable sensitive strain sensing, high‐fidelity electrocardiography, electromyography, electrooculography, and machine‐learning‐assisted gesture control.
Ming Dong +10 more
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Advanced Functional Materials, EarlyView.For the first time, an extreme‐thick laser‐arc PVD ta‐C (DLC) coating exceeding 100 µm is demonstrated, opening up new possibilities for ultra‐high load bearing capacity. This superhard amorphous carbon architecture combines >50% sp3 bonding, robust adhesion and self‐supporting performance, shielding substrates from plastic flow under extreme contact ...
Martin Zawischa +3 more
wiley +1 more source
Advanced Functional Materials, EarlyView.Here, we establish a low‐dose liquid‐phase electron microscopy workflow for real‐time observation of biological processes in hydrated conditions. Beam damage is reduced by imaging only 20% of the pixels and reconstructing the complete image using an inpainting algorithm.
Luco Rutten +7 more
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Results in semi-E-convex functions
Journal of Innovative Applied Mathematics and Computational Sciences, 2022 The concept of convexity and its various generalizations is important for quantitative and qualitative studies in operations research or applied mathematics.
Ayache Benhadid
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Advanced Functional Materials, EarlyView.This study reports a self‐powered InGaAs nanowire photodetector achieving single‐photon‐level sensitivity in the shortwave infrared at non‐cryogenic temperatures. The device demonstrates high‐speed imaging capabilities even under extremely low‐flux conditions.
Kosala Dhanawansha +10 more
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The Effect of Transformations on the Approximation of Univariate (Convex) Functions with Applications to Pareto Curves [PDF]
In the literature, methods for the construction of piecewise linear upper and lower bounds for the approximation of univariate convex functions have been proposed.We study the effect of the use of increasing convex or increasing concave transformations ...
Siem, A.Y.D. +2 more
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