Results 51 to 60 of about 9,985,560 (316)
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
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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.Binder‐free laser powder bed fusion of 8YSZ with a femtosecond laser is used to map process windows linking scan strategy, heat accumulation, and grain growth. Time‐resolved thermography and simulations reveal thermal regimes that enable continuous, vitrified, and fine‐grained 8YSZ surface layers without absorptive additives and demonstrate ...
Markus Kühn +5 more
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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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Advanced Engineering Materials, EarlyView.CT‐based finite element simulations combined with in situ X‐ray computed tomography are used to analyze insert pull‐out in nickel‐coated polymer foams. Despite variations in material parameters, deformation consistently concentrates within a narrow annular region around the insert.
Yannik Bautz +4 more
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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 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.
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Morphology, Transport, and Dynamics of Protein Adsorption in Open‐Cell Metal Foam
Advanced Engineering Materials, EarlyView.Stainless steel (SS) open‐cell foams are shown to adsorb more protein per unit area than previously reported 316L SS and chromium oxide surfaces under static and flow conditions. An integrated approach combining 3D pore imaging, flow simulation, and protein adsorption experiments characterizes the foam’s performance.
Chinmaya Prerana Inguva +2 more
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Absolute weighted arithmetic mean summability of infinite series and trigonometric Fourier series
, 2017 In this paper, we generalized a known theorem dealing with absolute weighted arithmetic mean summability of infinite series by using a quasi-f-power increasing sequence instead of a quasi-sigma-power increasing sequence.
H. Bor
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