Results 11 to 20 of about 472,920 (276)
Two Sharp Inequalities for Power Mean, Geometric Mean, and Harmonic Mean [PDF]
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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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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Highly degenerate harmonic mean curvature flow [PDF]
Calculus of Variations and Partial Differential Equations, 2008 We study the evolution of a weakly convex surface $ _0$ in $\R^3$ with flat sides by the Harmonic Mean Curvature flow. We establish the short time existence as well as the optimal regularity of the surface and we show that the boundaries of the flat sides evolve by the curve shortening flow.
Caputo, M. C., Daskalopoulos, P.
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Average Hazard as Harmonic Mean. [PDF]
Pharm StatABSTRACTA 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.
Chiba Y.
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An asymptotic expansion for the fractional $p$-Laplacian and for gradient dependent nonlocal operators [PDF]
, 2021 Mean value formulas are of great importance in the theory of partial differential equations: many very useful results are drawn, for instance, from the well known equivalence between harmonic functions and mean value properties.
Bucur, Claudia, Squassina, Marco
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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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The arithmetic-harmonic mean [PDF]
Mathematics of Computation, 1984 Consider two sequences generated by \[ a n + 1 = M ( a n , b n ) , b
Foster, D. M. E., Phillips, G. M.
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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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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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