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Functional means and harmonic functional means [PDF]
Bulletin of the Australian Mathematical Society, 1998 For a continuous function f(t) on (0, ∞) which is strictly monotone and a probability measure μ on [0, 1] we introduce the functional mean and the harmonic functional mean of x > 0 and y > 0 with respect to μ bywhich gives a unified approach to various famous means.Moreover, functional means and harmonic means in n variables are also given and ...
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Sensors, 2019 Wireless and power line communications (PLC) are important components of distribution network communication, and have a broad application prospect in the fields of intelligent power consumption and home Internet of Things (IoT).
Zhixiong Chen +3 more
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Generalized $1$-harmonic Equation and The Inverse Mean Curvature Flow
, 2010 We introduce and study generalized $1$-harmonic equations (1.1). Using some ideas and techniques in studying $1$-harmonic functions from [W1] (2007), and in studying nonhomogeneous $1$-harmonic functions on a cocompact set from [W2, (9.1)] (2008), we ...
Ai-Nung Wang +20 more
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Symmetry, 2019 In this paper, Normalized Weighted Bonferroni Mean (NWBM) and Normalized Weighted Bonferroni Harmonic Mean (NWBHM) aggregation operators are proposed. Besides, we check the properties thereof, which include idempotency, monotonicity, commutativity, and ...
Jinming Zhou +2 more
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, 2014 Citation: 'harmonic mean' in the IUPAC Compendium of Chemical Terminology, 3rd ed.; International Union of Pure and Applied Chemistry; 2006. Online version 3.0.1, 2019. 10.1351/goldbook.H02745 • License: The IUPAC Gold Book is licensed under Creative Commons Attribution-ShareAlike CC BY-SA 4.0 International for individual terms. Requests for commercial
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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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Optimal bounds for Seiffert-like elliptic integral mean by harmonic, geometric, and arithmetic means
Journal of Inequalities and Applications, 2022 In this article, we present the optimal bounds for a special elliptic integral mean in terms of the harmonic combinations of harmonic, geometric, and arithmetic means.
Fan Zhang, Weimao Qian, Hui Zuo Xu
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A Harmonic Mean Linear Discriminant Analysis for Robust Image Classification [PDF]
IEEE International Conference on Tools with Artificial Intelligence, 2016 Linear Discriminant Analysis (LDA) is a widely-used supervised dimensionality reduction method in computer vision and pattern recognition. In null space based LDA (NLDA), a well-known LDA extension, between-class distance is maximized in the null space ...
Shuai Zheng, F. Nie, C. Ding, Heng Huang
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Harmonic means of Wishart random matrices [PDF]
Random Matrices: Theory and Applications, 2020 We use free probability to compute the limiting spectral properties of the harmonic mean of [Formula: see text] i.i.d. Wishart random matrices [Formula: see text] whose limiting aspect ratio is [Formula: see text] when [Formula: see text]. We demonstrate an interesting phenomenon where the harmonic mean [Formula: see text] of the [Formula: see text ...
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Pediatric Blood &Cancer, EarlyView.ABSTRACT Objectives To identify predictors of chronic ITP (cITP) and to develop a model based on several machine learning (ML) methods to estimate the individual risk of chronicity at the timepoint of diagnosis. Methods We analyzed a longitudinal cohort of 944 children enrolled in the Intercontinental Cooperative immune thrombocytopenia (ITP) Study ...
Severin Kasser +6 more
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