Geometric-harmonic mean

Extensions of Some Matrix Inequalities via Matrix Means

Published in Michael Ruzhansky, Hemen Dutta, Advanced Topics in Mathematical Analysis, 2019

If the representing functions f and g with respect to matrix means σf and σg which satisfy f(x) ≤ g(x) for all x > 0, then it is equivalent to AσfB≤AσgB for all A, B ∈ Pn. Especially, we have arithmetic-geometric-harmonic mean inequality as follows. () A!λB≤A#λB≤A∇λB

Are quantitative fit factors predictive of respirator fit during simulated healthcare activities?

View Article

Journal Information

Published in Journal of Occupational and Environmental Hygiene, 2018

Margaret Sietsema, Lisa M. Brosseau

A second-by-second FF or SWPF was calculated by dividing outside- by inside-facepiece particle concentrations. Data were lognormally distributed; thus, descriptive measures and statistical analyses were conducted with log-transformed data. Geometric means were calculated for each fit test exercise (FF) and each simulated healthcare activity (SWPF). Each subject’s overall, initial, and final FF and SWPF were obtained by calculating the geometric harmonic mean of the five exercise FFs and the three activity SWPFs, respectively. Similarly, overall FF and overall SWPF were calculated as a geometric harmonic mean of FF1 and FF2, or SWPF1, SWPF2, SWPF3, respectively.

Geometric-harmonic mean

Explore chapters and articles related to this topic

Extensions of Some Matrix Inequalities via Matrix Means

Are quantitative fit factors predictive of respirator fit during simulated healthcare activities?