Results 71 to 80 of about 2,947,550 (268)

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 $f(αx+(1-α)y) \le αf(x)+(1-α)f(y)$.
openaire   +3 more sources

Closed‐Loop Solid‐State Synthesis Planning for Materials Discovery With Large Language Models

Advanced Materials, EarlyView.
Leveraging literature data, we build a large‐language‐model‐driven workflow that extracts synthesis steps from 4407 papers, retrieves similar precedents, and generates candidate solid‐state synthesis recipes. The system benchmarks against ground‐truth and then operates in a closed loop with experiments to synthesize oxy‐selenide electrolyte materials ...
Dong Won Jeon, Dong Hwi Kim, Taeyang Jeon, Joo Yeong Na, Heegyu Kim, Hyunsouk Cho, Dae Soo Jung, Ju Li, Jin‐Sung Park, Sung Beom Cho   +9 more
wiley   +1 more source

Some Companions of Fejér's Inequality for Convex Functions [PDF]

, 2009
In this paper, we establish some companions of Fejér’s inequality for convex functions which generalize the inequalities of Hermite-Hadamard type from 'Two mappings in connection to Hadamard’s inequalities' (Dragomir, 1992) and 'On some refinements of
Hwang, Shiow-Ru, Tseng, Kuei-Lin, Dragomir, Sever S   +2 more
core   +4 more sources

On HT-convexity and Hadamard-type inequalities

Journal of Inequalities and Applications, 2020
In the paper, the authors define a new notion of “HT-convex function”, present some Hadamard-type inequalities for the new class of HT-convex functions and for the product of any two HT-convex functions, and derive some inequalities for the arithmetic ...
Shu-Ping Bai, Shu-Hong Wang, Feng Qi
doaj   +1 more source

Hierarchical Flexible Ceramic Nanofiber Membrane for Simultaneous Membrane Distillation and Photocatalytic Hydrogen Evolution

Advanced Materials, EarlyView.
A hierarchical flexible ceramic nanofiber membrane integrates a La‐stabilized ZrO2 scaffold with superhydrophobic UiO‐66‐NH2/CdS heterojunctions. The gas–liquid–solid interfacial architecture sustains vapor‐selective desalination, visible‐light charge separation, and rapid H2 extraction, enabling simultaneous freshwater production and photocatalytic ...
Pengfei Lin, Xiaochen Lu, Jiawei Sun, Shuai Guo, Xinping He, Chunhai Yi, Zhenyao Wang, Jiaxin Guo, Swee Ching Tan, Alicia Kyoungjin An   +9 more
wiley   +1 more source

Generalized Petrovic’s Inequalities for Coordinated Exponentially m-Convex Functions

International Journal of Analysis and Applications, 2021
In this paper, we introduce a new class of convex function, which is called coordinated exponentially m-convex functions. Some new Petrovic’s type inequalities for exponentially m-convex functions and coordinated exponentially m-convex functions are ...
Wasim Iqbal, Muhammad Aslam Noor, Khalida Inayat Noor, Farhat Safdar   +3 more
doaj  

Iterative Selection of DNA Nanostructures for Cellular Uptake

Advanced Materials, EarlyView.
DNA nanostructures are promising cell targeting delivery vehicles for therapeutics, but the targeting behavior is not fully understood. In this study, libraries of DNA nanostructures that can be amplified and sequenced are combined with cellular uptake as a selection pressure to iteratively refine DNA structures taken up in cells to better understand ...
Anjali Rajwar, Lisa Eichhorn, Jakub Palacka, Sandra Ly, Erik Benson   +4 more
wiley   +1 more source

Some inequalities for strongly $(p,h)$-harmonic convex functions

Karpatsʹkì Matematičnì Publìkacìï, 2019
In this paper, we show that harmonic convex functions $f$ is strongly $(p, h)$-harmonic convex functions if and only if it can be decomposed as $g(x) = f(x) - c (\frac{1}{x^p})^2,$ where $g(x)$ is $(p, h)$-harmonic convex function.
M.A. Noor, K.I. Noor, S. Iftikhar
doaj   +1 more source

Self‐Assembling Copolymers Encapsulating Single Endothelial Cells Induce Endogenous ECM Deposition and Vascular Regeneration

Advanced Materials, EarlyView.
This study presents the first demonstration of stable sub‐50‐micron single‐cell GPM vesicles fabricated through the intrinsic self‐assembly of an amphiphilic copolymer. Hierarchical assembly of cell containing GPM vesicles into microspheres enable tunable, sustained cell delivery with immune protection.
Viola B. Morris, Sangho Lee, Kalp Soni, Simon He, Matthew Huang, Dandan Chen, Dae Hoon Lee, Kyung Hee Kim, Seonggeon Cho, Laura Pencea, Divit Jain, Young‐Sup Yoon   +11 more
wiley   +1 more source

Convex Analysis for Minimizing and Learning Submodular Set Functions [PDF]

, 2013
The connections between convexity and submodularity are explored, for purposes of minimizing and learning submodular set functions. First, we develop a novel method for minimizing a particular class of submodular functions, which can be expressed as a
Peter Stobbe, Stobbe, Peter
core   +1 more source