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An EigenFactor-weighted power mean generalization of the Euclidean Index. [PDF]

open access: goldPLoS 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
doaj   +4 more sources

Sharp Power Mean Bounds for Sándor Mean [PDF]

open access: yesAbstract and Applied Analysis, 2015
We prove that the double inequality Mp(a,b)
Yu-Ming Chu, Zhen-Hang Yang, Li-Min Wu
doaj   +5 more sources

Two Sharp Inequalities for Power Mean, Geometric Mean, and Harmonic Mean [PDF]

open access: yesJournal 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
doaj   +3 more sources

The power mean and the logarithmic mean [PDF]

open access: yesInternational 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
doaj   +3 more sources

On the Fourth Power Mean of the Two-Term Exponential Sums [PDF]

open access: yesThe 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
doaj   +2 more sources

Orderings over Intuitionistic Fuzzy Pairs Generated by the Power Mean and the Weighted Power Mean

open access: yesMathematics, 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
doaj   +1 more source

Improvements of Slater’s Inequality by Means of 4-Convexity and Its Applications

open access: yesMathematics, 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
doaj   +1 more source

Refinement of Discrete Lah–Ribarič Inequality and Applications on Csiszár Divergence

open access: yesMathematics, 2022
In this paper we give a new refinement of the Lah–Ribarič inequality and, using the same technique, we give a refinement of the Jensen inequality. Using these results, a refinement of the discrete Hölder inequality and a refinement of some inequalities ...
Đilda Pečarić   +2 more
doaj   +1 more source

Some New Bullen-Type Inequalities Obtained via Fractional Integral Operators

open access: yesAxioms, 2023
In this paper, we establish a new auxiliary identity of the Bullen type for twice-differentiable functions in terms of fractional integral operators.
Asfand Fahad   +4 more
doaj   +1 more source

Properties of the power-mean and their applications

open access: yesAIMS Mathematics, 2020
Suppose $w,v>0$, $w\neq v$ and $A_{u}\left (w,v\right) $ is the $u$-order power mean (PM) of $w$ and $v$. In this paper, we completely describe the convexity of $u\mapsto A_{u}\left (w,v\right) $ on $\mathbb{R}$ and $% s\mapsto A_{u\left (s\right ...
Jing-Feng Tian   +2 more
doaj   +1 more source

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