Results 51 to 60 of about 6,264,556 (344)
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 +2 more
wiley +1 more source
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
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Advanced Engineering Materials, EarlyView.This study investigates laser‐based oxide removal of Cu inserts in oxygen‐free conditions and examines long‐term oxidation kinetics and surface chemistry under different atmospheres via X‐ray photoelectron spectroscopy. Al–Cu compound casting with differently oxidized surfaces is performed, and intermetallic phase formation, morphology, and thermal ...
Timon Steinhoff +9 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
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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
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Robust Spot Melting by 3D Spot Arrangements in Electron Beam Powder Bed Fusion
Advanced Engineering Materials, EarlyView.This work proposes an approach to replace separately melted contours for spot melting in electron beam powder fusion. Adapting the spot arrangements close to the contour combined with stacking yields a comparable surface quality without the inherent challenges of separate contours, as demonstrated, by electron optical images and roughness measurements.
Tobias Kupfer +4 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
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A Refinement of Jensen's Discrete Inequality for Differentiable Convex Functions [PDF]
, 2002 A refinement of Jensen’s discrete inequality and applications for the celebrated Arithmetic Mean – Geometric Mean – Harmonc Mean inequality and Cauchy-Schwartz-Bunikowski inequality are pointed ...
Dragomir, Sever S, Scarmozzino, F. P
core
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