Results 11 to 20 of about 1,191 (137)
Axioms, 2022 In the paper, the authors establish a general inequality for the hyperbolic functions, extend the newly-established inequality to trigonometric functions, obtain some new inequalities involving the inverse sine and inverse hyperbolic sine functions, and ...
Wen-Hui Li, Qi-Xia Shen, Bai-Ni Guo
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Sharp bounds for Seiffert mean in terms of root mean square [PDF]
Journal of Inequalities and Applications, 2012 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yu-Ming Chu
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Sub-super-stabilizability of certain bivariate means via mean-convexity
Journal of Inequalities and Applications, 2016 In this paper, we first show that the first Seiffert mean P is concave whereas the second Seiffert mean T and the Neuman-Sándor mean NS are convex. As applications, we establish the sub-stabilizability/super-stabilizability of certain bivariate means ...
Mustapha Raïssouli, József Sándor
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The Optimal Convex Combination Bounds for Seiffert's Mean [PDF]
Journal of Inequalities and Applications, 2011 The authors prove the following optimal bounds for the Seiffert mean \(P(a,b)=(a-b)/[2\arcsin ((a-b)/(a+b))]\) by convex combinations of contraharmonic mean \(C(a,b)=(a^{2}+b^{2})/(a+b)\) and geometric mean \(G(a,b)= \sqrt{ab}\), respectively, harmonic mean \(H(a,b)=2ab/(a+b)\). 1) The double inequality \(\alpha _{1}C(a,b)+(1-\alpha _{1})G(a,b)
Xiang-Ju Meng, Hong Liu
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Index of a bivariate mean and applications
Journal of Inequalities and Applications, 2016 Exploring some results of (Raïssouli in J. Math. Inequal. 10(1):83-99, 2016) from another point of view, we introduce here some power-operations for (bivariate) means.
Mustapha Raïssouli
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The first Seiffert mean is strictly ( G , A ) -super-stabilizable [PDF]
Journal of Inequalities and Applications, 2014 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Anisiu, Mira C, Anisiu, Valeriu
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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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Optimal Lower Generalized Logarithmic Mean Bound for the Seiffert Mean [PDF]
Journal of Applied Mathematics, 2013 We present the greatest value p such that the inequality P(a,b)>Lp(a,b) holds for all a,b>0 with a≠b, where P(a,b) and Lp(a,b) denote the Seiffert and pth generalized logarithmic means of a and b, respectively.
Ying-Qing Song +3 more
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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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Refinements of bounds for the arithmetic mean by new Seiffert-like means
AIMS Mathematics, 2021 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Tie-Hong Zhao, Yu-Pei Lv
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