Results 121 to 130 of about 10,934,899 (375)
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 $ = (x,y) \in (0,1)$ such that $f( x+(1- )y) \le f(x)+(1- )f(y)$.
openaire +3 more sources
Most Convex Functions Have Unique Minimizers [PDF]
arXiv, 2014 Finding the minimum and the minimizers of convex functions has been of primary concern in convex analysis since its conception. It is well-known that if a convex function has a minimum, then that minimum is global. The minimizers, however, may not be unique. There are certain subclasses, such as strictly convex functions, that do have unique minimizers
arxiv
Robust Full‐Surface Bonding of Substrate and Electrode for Ultra‐Flexible Sensor Integration
Advanced Materials, EarlyView.A direct hybrid bonding method that enables both gold and parylene bonding without adhesives is developed. This technique achieves full‐surface direct bonding of electrodes and substrates in flexible electronic connections. The method offers high flexibility, stable mechanical durability, and high‐resolution interconnections, accommodating varying ...
Masahito Takakuwa +9 more
wiley +1 more source
Compact convex sets that admit a lower semicontinuous strictly convex function [PDF]
arXiv, 2015 We study the class of compact convex subsets of a topological vector space which admits a strictly convex and lower semicontinuous function. We prove that such a compact set is embeddable in a strictly convex dual Banach space endowed with its weak$^*$ topology.
arxiv
Early coefficients of the inverse of a regular convex function
, 1982 Using known properties of functions of positive real part it is shown that the first seven coefficients of the inverse of a regular univalent function mapping the disk onto a convex region are bounded by 1.
R. J. Libera, E. Złotkiewicz
semanticscholar +1 more source
Advanced Materials, EarlyView.A sandwich‐like device for stick‐slip perception is developed, featuring a deformable bioinspired ridge layer with capability of lateral deformation and fast recovery. Coupled with magnetized functionality, the morphological transformation is capable to induce periodical electrical pulses which allows to revisit the stick‐slip process when human ...
Dan Fang +6 more
wiley +1 more source
Refinements of Hermite-Hadamard inequality for trigonometrically r-convex functions [PDF]
Mathematica Moravica, 2019 In this study, we obtain some refinements of Hermite-Hadamard type inequalities for trigonometrically r-convex mappings.
Budak Hüseyin
doaj
On boundedly-convex functions on pseudo-topological vector spaces
International Journal of Mathematics and Mathematical Sciences, 2000 Notions of a boundedly convex function and of a Lipschitz-continuous function are extended to the case of functions on pseudo-topological vector spaces.
Vladimir Averbuch
doaj +1 more source
Radical Convex Functions [PDF]
arXiv, 2020 In this article, we further explore convex functions by revealing new bounds, resulting from stronger convexity behavior. In particular, we define the so called radical convex functions and study their properties. We will see that such convex functions are bounded above by new curves, rather than straight lines.
arxiv
Advanced Materials, EarlyView.Implantable devices rely on batteries that demand surgical replacement, posing risks, and financial burdens. Ultrasound energy transfer (US‐ET) offers a revolutionary wireless alternative but struggles with efficiency. The presented dielectric‐ferroelectric‐boosted US‐TENG (US‐TENGDF‐B) is thin, flexible, and biocompatible that provides high‐efficiency
Iman M. Imani +15 more
wiley +1 more source