Results 31 to 40 of about 3,636 (203)

An optimal double inequality among the one-parameter, arithmetic and harmonic means

Journal of Numerical Analysis and Approximation Theory, 2010
For \(p\in\mathbb{R}\), the one-parameter mean \(J_{p}(a,b)\), arithmetic mean \(A(a,b)\), and harmonic mean \(H(a,b)\) of two positive real numbers \(a\) and \(b\) are defined by\begin{equation*}J_{p}(a,b)=\begin{cases}\tfrac{p(a^{p+1}-b^{p+1})}{(p+1)(a^
Wang Miao-Kun, Qiu Ye-Fang, Chu Yu-Ming
doaj   +2 more sources

Optimal inequalities related to the logarithmic, identric, arithmetic and harmonic means

Journal of Numerical Analysis and Approximation Theory, 2010
The logarithmic mean \(L(a,b)\), identric mean \(I(a,b)\), arithmeticmean \(A(a,b)\) and harmonic mean \(H(a,b)\) of two positive real values \(a\) and \(b\) are defined by\begin{align*}\label{main}&L(a,b)=\begin{cases}\tfrac{b-a}{\log b-\log a},& a\neq ...
Wei-feng Xia, Chu Yu-Ming
doaj   +2 more sources

On the Equality of Bajraktarević Means to Quasi-Arithmetic Means [PDF]

Results in Mathematics, 2019
AbstractThis paper offers a solution of the functional equation$$\begin{aligned}&\big (tf(x)+(1-t)f(y)\big )\varphi (tx+(1-t)y)\\&\quad =tf(x)\varphi (x)+(1-t)f(y)\varphi (y) \qquad (x,y\in I), \end{aligned}$$(tf(x)+(1-t)f(y))φ(tx+(1-t)y)=tf(x)φ(x)+(1-t)f(y)φ(y)(x,y∈I),where$$t\in \,]0,1[\,$$t∈]0,1[,$$\varphi :I\rightarrow \mathbb {R}$$φ:I→Ris ...
Zsolt Páles, Amr Zakaria
openaire   +4 more sources

All‐in‐One Analog AI Hardware: On‐Chip Training and Inference with Conductive‐Metal‐Oxide/HfOx ReRAM Devices

Advanced Functional Materials, EarlyView.
An all‐in‐one analog AI accelerator is presented, enabling on‐chip training, weight retention, and long‐term inference acceleration. It leverages a BEOL‐integrated CMO/HfOx ReRAM array with low‐voltage operation (<1.5 V), multi‐bit capability over 32 states, low programming noise (10 nS), and near‐ideal weight transfer.
Donato Francesco Falcone, Victoria Clerico, Wooseok Choi, Tommaso Stecconi, Folkert Horst, Laura Bégon‐Lours, Matteo Galetta, Antonio La Porta, Nikhil Garg, Fabien Alibart, Bert Jan Offrein, Valeria Bragaglia   +11 more
wiley   +1 more source

Optimal power mean bounds for the second Yang mean

Journal of Inequalities and Applications, 2016
In this paper, we present the best possible parameters p and q such that the double inequality M p ( a , b ) < V ( a , b ) < M q ( a , b ) $$ M_{p}(a,b)< V(a,b)< M_{q}(a,b) $$ holds for all a , b > 0 $a, b>0$ with a ≠ b $a\neq b$ , where M r ( a , b ) = [
Jun-Feng Li, Zhen-Hang Yang, Yu-Ming Chu
doaj   +1 more source

A refinement of the arithmetic mean-geometric mean inequality [PDF]

Proceedings of the American Mathematical Society, 1978
Upper and lower bounds are given for the difference between the arithmetic and geometric means of n positive real numbers in terms of the variance of these numbers.
Cartwright, D. I., Field, M. J.
openaire   +2 more sources

Sulfation‐Tunable Peptide‐Glycosaminoglycan Hydrogels for Hematopoietic Stem and Progenitor Cell Expansion

Advanced Functional Materials, EarlyView.
Co‐assembly of rationally designed glycosaminoglycan‐binding peptides with sulfated glycosaminoglycans yields supramolecular hydrogels with tunable mechanics and matrix‐mediated cytokine retention. The glycosaminoglycans thereby act as cofactors, driving a coil‐to‐β‐sheet transition that triggers gelation.
Shirel Veretnik, Prannoy Seth, Maximilian Fusenig, Jens Friedrichs, Nicole Fertala, Passant Atallah, Uwe Freudenberg, Ayala Lampel, Carsten Werner   +8 more
wiley   +1 more source

On Kedlaya-type inequalities for weighted means

Journal of Inequalities and Applications, 2018
In 2016 we proved that for every symmetric, repetition invariant and Jensen concave mean M $\mathscr{M}$ the Kedlaya-type inequality A(x1,M(x1,x2),…,M(x1,…,xn))≤M(x1,A(x1,x2),…,A(x1,…,xn)) $$ \mathscr{A} \bigl(x_{1},\mathscr{M}(x_{1},x_{2}), \ldots ...
Zsolt Páles, Paweł Pasteczka
doaj   +1 more source

Sustainable Poly(Lactic Acid)/Graphene Oxide Bioelectronic Platform for Neurotransmitters Sensing and Tunable Stimulation of Astrocytes

Advanced Materials, EarlyView.
This work introduces sustainable PLA/graphene oxide bioelectronic interfaces featuring electrodes with tunable conductivity and strong electrocatalytic performance. These platforms were used to implement a new method for tuning astrocyte Ca2+ signaling and for the efficient detection of key biomarkers.
Alessandra Scidà, Giulia Cazzador, Roberta Fabbri, Matteo Calosi, Alessandro Silvestri, Andrea Candini, Fabiola Liscio, Franco Corticelli, Aikaterini Konstantoulaki, Andrea D'Iorio, Marco Caprini, Vincenzo Palermo, Monica Bertoldo, Valentina Benfenati, Chiara Zanardi, Emanuele Treossi   +15 more
wiley   +1 more source

Analog Tensor Processing With Carbon Nanotube In‐Memory Matrix Multiplications for Edge Computer Vision Acceleration

Advanced Materials, EarlyView.
This work prototypes a carbon nanotube‐based analog tensor core that performs in‐memory, parallel visual processing. Integrating non‐volatile memories and compact circuits, the core enables high‐speed analog matrix multiplications and can demonstrate accurate three dimensional (3D) spatial transformation and edge detection. With lightweight design, the
Jingfang Pei, Lekai Song, Songwei Liu, Yingyi Wen, Yaoqiang Zhou, Yang Liu, Pengyu Liu, Wenyu Cui, Xin Lu, Teng Ma, Zegao Wang, Guohua Hu   +11 more
wiley   +1 more source