Results 1 to 10 of about 1,768,053 (157)
The power mean and the logarithmic mean [PDF]
International Journal of Mathematics and Mathematical Sciences, 1982 In a very interesting and recent note, Tung-Po Lin [1] obtained the least value q and the greatest value p such that ...
Christopher Olutunde Imoru
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Power mean based image segmentation in the presence of noise [PDF]
Scientific Reports, 2022 In image segmentation and in general in image processing, noise and outliers distort contained information posing in this way a great challenge for accurate image segmentation results.
Afzal Rahman +7 more
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An EigenFactor-weighted power mean generalization of the Euclidean Index. [PDF]
PLoS ONE, 2019 This paper proposes a weighted generalization of the recently developed Euclidean Index. The weighting mechanism is designed to reflect the reputation of the journal within which an article appears.
M Ryan Haley
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Sharp Power Mean Bounds for Sándor Mean [PDF]
Abstract and Applied Analysis, 2015 We prove that the double inequality Mp(a,b)
Yu-Ming Chu, Zhen-Hang Yang, Li-Min Wu
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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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On the Fourth Power Mean of the Two-Term Exponential Sums [PDF]
The Scientific World Journal, 2014 The main purpose of this paper is to use the analytic methods and the properties of Gauss sums to study the computational problem of one kind fourth power mean of two-term exponential sums and give an interesting identity and asymptotic formula for it.
Han Zhang, Wenpeng Zhang
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Optimal Power Mean Bounds for the Weighted Geometric Mean of Classical Means [PDF]
Journal of Inequalities and Applications, 2010 For , the power mean of order of two positive numbers and is defined by , for , and , for . In this paper, we answer the question: what are the greatest value and the least value such that the double inequality holds for all and ...
Chu Yu-Ming, Long Bo-Yong
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Matrix power means and the Karcher mean
Journal of Functional Analysis, 2012 The Karcher mean of \(n\) positive definite matrices \(A_{1},\dots,A_{n}\) is defined as the unique minimizer (provided it exists) of the sum of squares of the Riemannian trace metric distances to each of the \(A_{i}\), i.e., \[ \Lambda (A_{1},\dots,A_{n})=\arg \min_{X\in {\mathbb P}}\sum\limits_{i=1}^{n}\delta ^{2}(X,A_{i})~, \] where \ \({\mathbb P}\)
Yongdo Lim, Miklós Pálfia
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Orderings over Intuitionistic Fuzzy Pairs Generated by the Power Mean and the Weighted Power Mean
Mathematics, 2023 In the present work, we prove a result concerning an ordering over intuitionistic fuzzy pairs generated by the power mean (Mp) for p>0. We also introduce a family of orderings over intuitionistic fuzzy pairs generated by the weighted power mean (Mpα) and
Peter Vassilev +5 more
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Improvements of Slater’s Inequality by Means of 4-Convexity and Its Applications
Mathematics, 2022 In 2021, Ullah et al., introduced a new approach for the derivation of results for Jensen’s inequality. The purpose of this article, is to use the same technique and to derive improvements of Slater’s inequality. The planned improvements are demonstrated
Xuexiao You +3 more
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