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Harmonic analysis and mean field theory [PDF]
Journal of High Energy Physics, 2019 We review some aspects of harmonic analysis for the Euclidean conformal group, including conformally-invariant pairings, the Plancherel measure, and the shadow transform.
Denis Karateev +2 more
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Average Hazard as Harmonic Mean
Pharmaceutical StatisticsABSTRACTA new measure was recently developed in the context of survival analysis that can be interpreted as a weighted arithmetic mean of the hazards with the survival function as the weight. However, when the average hazard is desired, it is more appropriate to use the harmonic mean rather than the arithmetic mean.
exaly +3 more sources
The arithmetic-harmonic mean [PDF]
Mathematics of Computation, 1984 Consider two sequences generated by \[ a n
Foster, D. M. E., Phillips, G. M.
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Stochastic Order and Generalized Weighted Mean Invariance
Entropy, 2021 In this paper, we present order invariance theoretical results for weighted quasi-arithmetic means of a monotonic series of numbers. The quasi-arithmetic mean, or Kolmogorov–Nagumo mean, generalizes the classical mean and appears in many disciplines ...
Mateu Sbert +3 more
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Two Sharp Inequalities for Power Mean, Geometric Mean, and Harmonic Mean
Journal of Inequalities and Applications, 2009 For p∈R, the power mean of order p of two positive numbers a and b is defined by Mp(a,b)=((ap+bp)/2)1/p,p≠0, and Mp(a,b)=ab, p=0.
Wei-Feng Xia, Yu-Ming Chu
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Digital image contrast assessment based on the Weibull distribution parameters
Системный анализ и прикладная информатика, 2021 The goal of the studies described in the paper is to find a quantitative assessment that maximally correlates with the subjective assessment of the contrast image quality in the absence of reference image.
Y. I. Golub, F. V. Starovoitov
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On approximating the quasi-arithmetic mean
Journal of Inequalities and Applications, 2019 In this article, we prove that the double inequalities α1[7C(a,b)16+9H(a,b)16]+(1−α1)[3A(a,b)4+G(a,b)4]
Tie-Hong Zhao +3 more
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Sharp two-parameter bounds for the identric mean
Journal of Inequalities and Applications, 2018 For t∈[0,1/2] $t\in [0,1/2]$ and s≥1 $s\ge 1$, we consider the two-parameter family of means Qt,s(a,b)=Gs(ta+(1−t)b,(1−t)a+tb)A1−s(a,b), $$ Q_{t,s}(a,b)=G^{s}\bigl(ta+(1-t)b,(1-t)a+tb\bigr)A^{1-s}(a,b), $$ where A and G denote the arithmetic and ...
Omran Kouba
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Weighted inequalities for harmonic means [PDF]
Mathematical Inequalities & Applications, 2006 https://mia.ele-math.com/open ...
Ortega-Salvador, Pedro +1 more
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Sharp Power Mean Bounds for the One-Parameter Harmonic Mean
Journal of Function Spaces, 2015 We present the best possible parameters α=α(r) and β=β(r) such that the double inequality Mα(a,b)
Yu-Ming Chu, Li-Min Wu, Ying-Qing Song
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