Results 1 to 10 of about 509,522 (270)
Sharp bounds for a special quasi-arithmetic mean in terms of arithmetic and geometric means with two parameters [PDF]
Journal of Inequalities and Applications, 2017 In the article, we present the best possible parameters λ = λ ( p ) $\lambda=\lambda (p)$ and μ = μ ( p ) $\mu=\mu(p)$ on the interval [ 0 , 1 / 2 ] $[0, 1/2]$ such that the double inequality G p [ λ a + ( 1 − λ ) b , λ b + ( 1 − λ ) a ] A 1 − p ( a , b )
Wei-Mao Qian, Yu-Ming Chu
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Bounds for Combinations of Toader Mean and Arithmetic Mean in Terms of Centroidal Mean [PDF]
The Scientific World Journal, 2013 The authors find the greatest value λ and the least value μ, such that the double inequality C¯(λa+(1-λb),λb+(1-λ)a)
Wei-Dong Jiang
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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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Revisiting Fold-Change Calculation: Preference for Median or Geometric Mean over Arithmetic Mean-Based Methods [PDF]
BiomedicinesBackground: Fold change is a common metric in biomedical research for quantifying group differences in omics variables. However, inconsistent calculation methods and inadequate reporting lead to discrepancies in results. This study evaluated various fold-
Jörn Lötsch +2 more
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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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, 2008 Citation: 'arithmetic 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.A00440 • License: The IUPAC Gold Book is licensed under Creative Commons Attribution-ShareAlike CC BY-SA 4.0 International for individual terms.
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On a basic mean value Theorem with explicit exponents [PDF]
, 2020 In this paper we follow a paper from A. Sedunova (2017) regarding R. C. Vaughan's basic mean value Theorem (Acta Arith. 1980) to improve and complete a more general demonstration for a suitable class of arithmetic functions as started by A. C.
Ferrari, Matteo
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Soft ideals and arithmetic mean ideals [PDF]
, 2007 This article investigates the soft-interior and the soft-cover of operator ideals. These operations, and especially the first one, have been widely used before, but making their role explicit and analyzing their interplay with the arithmetic mean ...
Kaftal, Victor, Weiss, Gary
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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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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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