Results 101 to 110 of about 180,189 (322)

From inequalities involving exponential functions and sums to logarithmically complete monotonicity of ratios of gamma functions. [PDF]

J Math Anal Appl, 2021
Qi F, Guo BN.
europepmc   +1 more source

Thermally Activated Swelling and Wetting Transition of Frozen Polymer Brushes:a New Concept for Surface Functionalization

Advanced Materials, EarlyView.
A novel approach is introduced that leverages polymer phase transitions to modulate brush behavior. The oleophilic bottle brush system exhibits two distinct melting transitions—bulk and surface—enabling a two‐stage swelling and wetting transition.
Luciana Buonaiuto, Sander Reuvekamp, Billura Shakhayeva, Enqing Liu, Franziska Neuhaus, Björn Braunschweig, Sissi de Beer, Frieder Mugele   +7 more
wiley   +1 more source

Research on the Evolution of Defects Initiation and the Diffusion of Dopant on the Si/SiO2 Interface

Advanced Materials Interfaces, EarlyView.
This review mainly introduces the recent investigations on the mechanisms of interface defect initiation and dopant diffusion, and the comparisons and discussions of the initial mechanism of defects, structures of defects to provide valuable guidance for improving the performance and extending the lifespan of Si/SiO2 interfaces.
Yunqi Yang, Dongdong Chen, Di Li, Tianlong Zhao, Weida Zhang, Wen Qiao, Yingjie Liang, Yintang Yang   +7 more
wiley   +1 more source

Monotonicity of the ratio for the complete elliptic integral and Stolarsky mean

Journal of Inequalities and Applications, 2016
In the article, we prove that the function r ↦ E ( r ) / S 9 / 2 − p , p ( 1 , r ′ ) $r\mapsto \mathcal{E}(r)/S_{9/2-p, p}(1, r')$ is strictly increasing on ( 0 , 1 ) $(0, 1)$ for p ≤ 7 / 4 $p\leq7/4$ and strictly decreasing on ( 0 , 1 ) $(0, 1)$ for p ∈
Zhen-Hang Yang, Yu-Ming Chu, Wen Zhang
doaj   +1 more source

On a conjecture of a logarithmically completely monotonic function [PDF]

arXiv, 2016
In this short note we prove a conjecture for the interval $(0,1)$, related to a logarithmically completely monotonic function, presented in \cite{BG}. Then, we extend by proving a more generalized theorem. At the end we pose an open problem on a logarithmically completely monotonic function involving $q$-Digamma function.
arxiv  

Temperature‐Dependent Properties of Atomic Layer Deposition‐Grown TiO2 Thin Films

Advanced Materials Interfaces, EarlyView.
This study explores the temperature‐dependent properties of TiO₂ thin films grown by atomic layer deposition using tetrakis dimethyl amino titanium and water. The films exhibit increased oxynitride incorporation as the process temperature increases from 150 to 350 °C, significantly influencing their optical and electrical properties. Findings highlight
Nimarta Kaur Chowdhary, Theodosia Gougousi   +1 more
wiley   +1 more source

Titanium Oxysulfate‐Derived 1D Lepidocrocite Titanate Nanostructures

Advanced Materials Interfaces, EarlyView.
A novel synthesis protocol is presented for creating high‐quality titania nanofilaments. This method transcends the limitations of traditional techniques, leveraging a solution precipitation process fine‐tuned for lower temperatures and minimal reagent use. The result?
Sukanya Maity, Mohamed Ibrahim, Hussein Badr, Treesa Reji, Mary Q. Hassig, Tongjie Zhang, Christopher Li, Johanna Rosén, Michel W. Barsoum   +8 more
wiley   +1 more source

Monotonicity rule for the quotient of two functions and its application

Journal of Inequalities and Applications, 2017
In the article, we provide a monotonicity rule for the function [ P ( x ) + A ( x ) ] / [ P ( x ) + B ( x ) ] $[P(x)+A(x)]/[P(x)+B(x)]$ , where P ( x ) $P(x)$ is a positive differentiable and decreasing function defined on ( − R , R ) $(-R, R)$ ( R > 0 ...
Zhen-Hang Yang, Wei-Mao Qian, Yu-Ming Chu, Wen Zhang   +3 more
doaj   +1 more source

A complete monotonicity property of the gamma function

Journal of Mathematical Analysis and Applications, 2004
AbstractA logarithmically completely monotonic function is completely monotonic. The function 1−lnx+1xlnΓ(x+1) is strictly completely monotonic on (0,∞). The function Γ(x+1)x/x is strictly logarithmically completely monotonic on (0,∞).
Feng Qi, Chao-Ping Chen
openaire   +2 more sources

Ultrathin Gold for Robust Multi‐Element Surface Plasmon Resonance Biosensing

Advanced Materials Interfaces, EarlyView.
This is a pioneering work where for the first time we applied recently synthesised ultrathin layer of gold for plasmonic biosensing that makes use of multi‐element architectures. This study solves the problem of stability of the multi‐element biosensors as well as demonstrates increased sensitivity achieved by utilising new additions to low‐dimension ...
Vasyl G. Kravets, Andrew Strudwick, Alexander N. Grigorenko   +2 more
wiley   +1 more source