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Geometric renormalization of weighted networks
Communications PhysicsThe geometric renormalization technique for complex networks has successfully revealed the multiscale self-similarity of real network topologies and can be applied to generate replicas at different length scales.
Muhua Zheng +3 more
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Weighted Geometric Mean and its Properties [PDF]
, 2021 Various means (the arithmetic mean, the geometric mean, the harmonic mean, the power means) are often used as central tendency statistics. A new statistic of such type is offered for a sample from a distribution on the positive semi-axis, the γ-weighted ...
Turchyn, Ievgen
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Canadian Mathematical Bulletin, 1989 The aim of this paper is two-fold: First we prove the Radotype inequality Here denote the weighted geometric means of with where the pi are positive weights. Thereafter we investigate under which conditions the sequence is convergent as n → ∞
Horst Alzer
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Weighted arithmetic–geometric operator mean inequalities [PDF]
Journal of Inequalities and Applications, 2018 In this paper, we refine and generalize some weighted arithmetic–geometric operator mean inequalities due to Lin (Stud. Math. 215:187–194, 2013) and Zhang (Banach J. Math. Anal. 9:166–172, 2015) as follows: Let A and B be positive operators.
Jianming Xue
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Calculation of Weighted Geometric Dilution of Precision [PDF]
Journal of Applied Mathematics, 2013 To achieve high accuracy in wireless positioning systems, both accurate measurements and good geometric relationship between the mobile device and the measurement units are required.
Chien-Sheng Chen +3 more
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Geometric Structures on Spaces of Weighted Submanifolds [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2009 In this paper we use a diffeo-geometric framework based on manifolds that are locally modeled on ''convenient'' vector spaces to study the geometry of some infinite dimensional spaces.
Brian Lee
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Weighted geometric set cover problems revisited
Journal of Computational Geometry, 2012 We study several set cover problems in low dimensional geometric settings. Specifically, we describe a PTAS for the problem of computing a minimum cover of given points by a set of weighted fat objects.
Sariel Har-Peled, Mira Lee
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Bounding the Difference and Ratio Between the Weighted Arithmetic and Geometric Means [PDF]
International Journal of Analysis and Applications, 2017 In the paper, making use of two integral representations for the difference and ratio of the weighted arithmetic and geometric means and employing the weighted arithmetic-geometric-harmonic mean inequality, the author bounds the difference and ratio ...
Feng Qi
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Further Improved Weighted Arithmetic-Geometric Operator Mean Inequalities
Mathematics, 2019 The main purpose of this paper is to present some weighted arithmetic-geometric operator mean inequalities. These inequalities are refinements and generalizations of the corresponding results.
Jianming Xue, Xingkai Hu
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Sharp Bounds by the Generalized Logarithmic Mean for the Geometric Weighted Mean of the Geometric and Harmonic Means [PDF]
Journal of Applied Mathematics, 2012 We present sharp upper and lower generalized logarithmic mean bounds for the geometric weighted mean of the geometric and harmonic means.
Wei-Mao Qian, Bo-Yong Long
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