New Bounds for Arithmetic Mean by the Seiffert-like Means
Mathematics, 2022 By using the power series of the functions 1/sinnt and cost/sinnt (n=1,2,3,4,5), and the estimation of the ratio of two adjacent Bernoulli numbers, we obtained new bounds for arithmetic mean A by the weighted arithmetic means of Mtan1/3Msin2/3 and 13Mtan+
Ling Zhu
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Two sharp double inequalities for Seiffert mean [PDF]
Journal of Inequalities and Applications, 2011 In this paper, we establish two new inequalities between the root-square, arithmetic, and Seiffert means. The achieved results are inspired by the paper of Seiffert (Die Wurzel, 29, 221-222, 1995), and the methods from Chu et al. (J. Math.
Gong Wei-Ming +2 more
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A Nice Separation of Some Seiffert-Type Means by Power Means [PDF]
International Journal of Mathematics and Mathematical Sciences, 2012 Seiffert has defined two well-known trigonometric means denoted by 𝒫 and 𝒯. In a similar way it was defined by Carlson the logarithmic mean ℒ as a hyperbolic mean. Neuman and Sándor completed the list of such means by another hyperbolic mean ℳ. There are
Iulia Costin, Gheorghe Toader
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Monotonicity of the Ratio of the Power and Second Seiffert Means with Applications [PDF]
Abstract and Applied Analysis, 2014 We present the necessary and sufficient condition for the monotonicity of the ratio of the power and second Seiffert means. As applications, we get the sharp upper and lower bounds for the second Seiffert mean in terms of the power mean.
Zhen-Hang Yang +2 more
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Refinements of bounds for the arithmetic mean by new Seiffert-like means
AIMS Mathematics, 2021 In the article, we present the sharp upper and lower bounds for the arithmetic mean in terms of new Seiffert-like means, which give some refinements of the results obtained in [1].
Wei-Mao Qian, Tie-Hong Zhao, Yu-Pei Lv
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A separation of some Seiffert-type means by power means
Journal of Numerical Analysis and Approximation Theory, 2012 Consider the identric mean \(\mathcal{I}\), the logarithmic mean \(\mathcal{L,}\) two trigonometric means defined by H. J. Seiffert and denoted by \(\mathcal{P}\) and \(\mathcal{T,}\) and the hyperbolic mean \(\mathcal{M}\) defined by E.
Iulia Costin, Gheorghe Toader
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The Optimal Convex Combination Bounds of Arithmetic and Harmonic Means for the Seiffert's Mean [PDF]
Journal of Inequalities and Applications, 2010 We find the greatest value α and least value β such that the double inequality αA(a,b)+(1-α)H(a,b)<P(a,b)<βA(a,b)+(1-β)H(a,b) holds for all a,b>0 with a≠b. Here A(a,b), H(a,b)
Yu-Ming Chu +3 more
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An Optimal Double Inequality between Power-Type Heron and Seiffert Means [PDF]
Journal of Inequalities and Applications, 2010 For , the power-type Heron mean and the Seiffert mean of two positive real numbers and are defined by , ; , and , ; , , respectively.
Wang Miao-Kun, Qiu Ye-Fang, Chu Yu-Ming
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Dichotomous STAT5 and STAT6 Activation in T Cells Reflects Cytokine Shifts Between Blood and Skin in Atopic Dermatitis. [PDF]
AllergyAllergy, Volume 80, Issue 8, Page 2379-2383, August 2025.
Boldt A +17 more
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On the Brink, a Population of Hedgehogs in Central London. [PDF]
Ecol EvolA small breeding population of hedgehogs survives in central London's Regent's Park (166 ha). A 10‐year survey (2014–2023) revealed a decline from an average of 28 individuals to just six in spring 2023, driven by low breeding success and high mortality.
Gurnell J, Reeve N, Cross B.
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