Results 91 to 100 of about 5,559,638 (318)
The logarithmic mean is a mean
Mathematical Communications, 1997 Let \(x\) and \(y\) be positive numbers. It is well known that the logarithmic mean \(L(x,y)= (x-y)/(\log x-\log y)\) lies between \(x\) and \(y\). The authors show that this simple fact leads to a variety of interesting inequalities concerning means and operators.
Mond, B. +2 more
openaire +2 more sources
Diffusion‐Weighted Imaging for the Evaluation of the Sacroiliac Joint in Pediatric Patients
Arthritis Care &Research, EarlyView.Objective Maturational signal in the sacroiliac joint (SIJ) of skeletally immature youth is often misinterpreted as inflammation. Diagnostic tools that improve specificity are greatly needed. Apparent diffusion coefficient (ADC) values from diffusion‐weighted imaging (DWI), when used with standard imaging, may enhance diagnostic accuracy.
Michael L. Francavilla +6 more
wiley +1 more source
Some Tauberian conditions on logarithmic density
Advances in Difference Equations, 2019 This article is based on the study on the λ-statistical convergence with respect to the logarithmic density and de la Vallee Poussin mean and generalizes some results of logarithmic λ-statistical convergence and logarithmic (V,λ) $(V,\lambda ...
Adem Kılıçman +2 more
doaj +1 more source
How to average logarithmic retrievals? [PDF]
Atmospheric Measurement Techniques, 2012 Calculation of mean trace gas contributions from profiles obtained by retrievals of the logarithm of the abundance rather than retrievals of the abundance itself are prone to biases.
B. Funke, T. von Clarmann
doaj +1 more source
A Note on Logarithmic Mean Equicontinuity
Journal of Dynamics and Differential EquationsWe study the set of harmonic limits of empirical measures in topological dynamical systems. We obtain a characterization of unique ergodicity based of logarithmic (harmonic) mean convergence in place of Cesàro convergence. We introduce logarithmic mean equicontinuity and show that a topological dynamical system is logarithmically mean equicontinuous if
Dominik Kwietniak +2 more
openaire +2 more sources
Optimal generalized Heronian mean bounds for the logarithmic mean [PDF]
Journal of Inequalities and Applications, 2012 AbstractIn this article, we establish a double inequality between the generalized Heronian and logarithmic means. The achieved result is inspired by the articles of Lin and Shi et al., and the methods from Janous. The inequalities we obtained improve the existing corresponding results and, in some sense, are optimal.2010 Mathematics Subject ...
Shi, Hong-Xing +2 more
openaire +1 more source
, 2015 We investigate the quantum phase transition in an $S = 1/2$ dimerized Heisenberg antiferromagnet in three spatial dimensions. By performing large-scale quantum Monte Carlo simulations and detailed finite-size scaling analyses, we obtain high-precision ...
Meng, Zi Yang +3 more
core +1 more source
Arthritis Care &Research, EarlyView.Objective We aimed to test the efficacy of personalized treatment of older veterans with chronic low back pain (CLBP) delivered by Aging Back Clinics (ABCs) as compared with usual care (UC). Methods Two hundred ninety‐nine veterans aged 65 to 89 with CLBP from three Veterans Affairs (VA) medical centers underwent baseline testing, randomization to ABC ...
Debra K. Weiner +9 more
wiley +1 more source
Logarithmic mean and weighted sum of geometric and anti-harmonic means
Journal of Numerical Analysis and Approximation Theory, 2012 We consider the problem of finding the optimal values \(\alpha,\ \beta\in\mathbb{R}\) for which the inequality\[\alpha G(a,b)+(1-\alpha)C(a,b)
Mira Cristiana Anisiu, Valeriu Anisiu
doaj +2 more sources
Journal of Chemical Theory and Computation, 2017 Efficient and reliable estimation of the mean force (MF), the derivatives of the free energy with respect to a set of collective variables (CVs), has been a challenging problem because free energy differences are often computed by integrating the MF ...
T. Morishita, Y. Yonezawa, A. Ito
semanticscholar +1 more source