Results 51 to 60 of about 509,585 (310)

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

Unidirectional Tape‐Based Composites from Hemp and Pineapple Leaf Fiber: Mechanical Performance in Conventional and Bio‐Based Matrices

Advanced Engineering Materials, EarlyView.
The study investigates novel semi‐finished products made of unidirectionally arranged hemp or pineapple leaf fiber‐reinforced composites produced from different matrices. The materials are analyzed in terms of their mechanical and interfacial properties and void content.
Nina Graupner, Raja Bade, Valentin Ackermann, Roja M. Baumann, Corvin Bischoff, Jona F. Ebeling, Oskar Glenz, Marlo Groh, Jonathan Groth, Finja Hiller, Tom Hirschmüller, Felix Menke, Syntcha Ngantchou Lecdou, Mika Ohler, Daniel Rafii Vardiny, Darius Richter, Dario Röper, Henrik Schumacher, Theresa Stein, Benjamin Vorbeck, Elisabeth Wermter, Kay Kölzig, Jörg Müssig   +22 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

Arithmetic–Geometric Mean determinantal identity

Linear Algebra and its Applications, 2011
For any \(n\) by \(n\) matrix \(A\), let \(A_{r}\left[ i,j\right] \) denote an \(r\) by \(r\) submatrix consisting of r contiguous rows and columns of \(A\), starting with row \(i\) and column \(j\). Let also the superscript \(t\) stands for transposition of a matrix and \(J_{n}\) be an all-one matrix of order \(n\).
Bayat, M., Teimoori, H.
openaire   +1 more source

Effect of Laser Deoxidation on Adhesive‐Bonded Aluminum in an Oxygen‐Free Atmosphere

Advanced Engineering Materials, EarlyView.
This study investigates laser ablation of aluminum under oxygen‐free conditions. The goal is to produce oxide‐free substrates that enable improved adhesive bonding with epoxy. Optimized laser parameters (90% overlap, 300 µJ) combined with oxide‐free substrates result in the highest tensile strength of the adhesive bond.
Sandra Gerland, Finn‐Lennard Janthur, Sarah Seffer, Jörg Hermsdorf, Ludger Overmeyer, Annika Raatz   +5 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

Four‐Point Bending Tests at High Temperatures on Commercial MgO‐C Refractory Bricks with and Without Recyclate Considering Different Carbon Contents

Advanced Engineering Materials, EarlyView.
Four‐point bending tests are conducted in an argon atmosphere on commercial MgO‐C brick grades with and without MgO‐C recyclate from room temperature up to 1300 °C. No detrimental effect of the MgO‐C recyclates on bending strength is found. Instead, a decisive influence of the total carbon content is observed, with lower total carbon contents ...
Alexander Schramm, Lukas Knöchel, Thomas Schemmel, Christos G. Aneziris, Anja Weidner, Horst Biermann   +5 more
wiley   +1 more source

Removing Oxide Layers and Retaining Oxide‐Free Steel Surfaces by Polishing in Oxygen‐Free Atmosphere

Advanced Engineering Materials, EarlyView.
In this study, the efficacy of wet mechanical polishing under an oxygen‐free atmosphere for deoxidation and the retention of an oxide‐free steel surface are elucidated using X‐ray photoelectron spectroscopy. The methodology proved successful; however, the results were highly dependent on the preparation of the solvents used to clean the samples after ...
Friedrich Bürger, Lienhard Wegewitz, Wolfgang Maus‐Friedrichs   +2 more
wiley   +1 more source

Arithmetic Means of Fourier Coefficients [PDF]

Proceedings of the American Mathematical Society, 1976
Given the Fourier coefficients of an even continuous function, we find a necessary and sufficient condition such that their arithmetic means are the Fourier coefficients of an odd continuous function. A similar result is shown for those Lipschitz classes whose elements are automatically equivalent to continuous functions.
openaire   +1 more source