Results 81 to 90 of about 24,937 (297)

Strong m-Convexity of Set-Valued Functions

Annales Mathematicae Silesianae, 2023
In this research we introduce the concept of strong m-convexity for set-valued functions defined on m-convex subsets of real linear normed spaces, a variety of properties and examples of these functions are shown, an inclusion of Jensen type is also ...
Lara Teodoro, Merentes Nelson, Quintero Roy, Rosales Edgar   +3 more
doaj   +1 more source

The Fifth Coefficients of Strongly Convex Functions

Journal of Physics: Conference Series, 2020
Abstract Let the function f be analytic in ↁ = {z : |z| < 1} and given by f ( z ) = z
Krisna Adilia Daniswara, null Marjono, R Bagus E W   +2 more
openaire   +1 more source

Localized Temperature Monitoring in Mouse Brain during Light Delivery via a Non‐Planar Tapered Fiber‐Integrated µRTD Sensor

Advanced Materials, EarlyView.
We report a multifunctional tapered optical fiber integrating a conformal micro‐resistance temperature detector (µRTD) for local, real‐time thermometry during optical stimulation. The platform combines light‐delivery and temperature sensing within a minimally invasive footprint, enabling detection of sub‐degree cortical heating under representative ...
Antonio Balena, Marco Bianco, Barbara Spagnolo, Muhammad Fayyaz Kashif, Alberto Bramati, Massimo De Vittorio, Ferruccio Pisanello   +6 more
wiley   +1 more source

Inverse Design of Amorphous Materials With Targeted Properties

Advanced Materials, EarlyView.
AMDEN is a diffusion model framework for the inverse design of amorphous materials with targeted properties. By incorporating Hamiltonian Monte Carlo refinement into the denoising process, the framework overcomes the challenge of generating thermally relaxed disordered structures.
Jonas A. Finkler, Yan Lin, Tao Du, Jilin Hu, Morten M. Smedskjaer   +4 more
wiley   +1 more source

Droplet Electricity Generators With Maximized Energy Collection Zone Enabled by Aloe‐Inspired Midrib and Cuticle

Advanced Materials, EarlyView.
An Aloe‐pinspired droplet electricity generator (A‐DEG) overcomes the limited energy collection zone of conventional DEGs by guiding impact droplets through a channeling midrib and artificial cuticle. The channeling midrib induces uni‐directional droplet spreading, while the artificial cuticle on the midrib further reinforces this behavior through its ...
Gibeom Lee, Eunbyeol Kim, Kyongtae Choi, Minjun Song, Sunmin Jang, Dongwhi Choi, Donghyun Seo, Min‐Gyu Lee, Younghoon Lee   +8 more
wiley   +1 more source

Majorization-type inequalities for (m, M, ψ)-convex functions with applications

Open Mathematics
In 2001, S. S. Dragomir introduced a generalized class of convexity, the so-called (m,M,ψ)\left(m,M,\psi )-convex functions, which covers many other classes of convexity.
Dragomir Silvestru Sever, Bradanović Slavica Ivelić, Lovričević Neda   +2 more
doaj   +1 more source

Ferromagnetism of Molecular Beam Epitaxy‐grown Ultra‐thin Cr2Ge2Te6 Films Down to the Monolayer Limit on Si Substrates

Advanced Materials, EarlyView.
Uniform monolayer Cr2Ge2Te6 films are achieved on Si substrates by molecular beam epitaxy. Intrinsic ferromagnetism with perpendicular magnetic anisotropy is established in the films by anomalous Hall effect and superconducting quantum interference device measurements, albeit with strong magnetic fluctuations characteristic of its 2D nature.
Pengfei Ji, Ruixuan Liu, Tianchen Zhu, Yang Chen, Yitian Tong, Jinxuan Liang, Yunhe Bai, Yunyi Zang, Zuhan Geng, Fangting Chen, Xiyu Hong, Jiatong Zhang, Luyi Yang, Qi‐Kun Xue, Ke He, Xiao Feng   +15 more
wiley   +1 more source

First-order methods of smooth convex optimization with inexact oracle [PDF]

In this paper, we analyze different first-order methods of smooth convex optimization employing inexact first-order information. We introduce the notion of an approximate first-order oracle.
GLINEUR, François, NESTEROV, Yurii, DEVOLDER, Olivier   +2 more
core  

C2-Lusin approximation of strongly convex functions

We prove that if u : R n → R is strongly convex, then for every ε > 0 there is a strongly convex function v ∈ C 2 ( R n ) such that | { u ≠ v } | < ε and ∥ u − v ∥ ∞ < ε
Azagra, Daniel, Hajłasz, Piotr, Drake, Marjorie   +2 more
core   +1 more source

Coefficients of strongly alpha-convex and alpha-logarithmicaly convex functions

, 2017
Let the function $f$ be analytic in $D=\{z:|z|<1\}$ and be  given by $f(z)=z+\sum_{n=2}^{\infty}a_{n}z^{n}$.  For $0< \beta \le 1$, denote by  $C (\beta)$ and $S^*(\beta)$ the classes of strongly  convex functions and strongly starlike functions ...
Derek Keith Thomas
core   +1 more source