Results 1 to 10 of about 4,806,605 (137)
Optimal bounds for Neuman-Sándor mean in terms of the convex combination of the logarithmic and the second Seiffert means [PDF]
Journal of Inequalities and Applications, 2017 In the article, we prove that the double inequality α L ( a , b ) + ( 1 − α ) T ( a , b ) < NS ( a , b ) < β L ( a , b ) + ( 1 − β ) T ( a , b ) $$ \alpha L(a,b)+(1-\alpha)T(a,b)< \mathit{NS}(a,b)< \beta L(a,b)+(1-\beta)T(a,b) $$ holds for a , b > 0 $a,b>
Jing-Jing Chen +2 more
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Optimal Bounds for Neuman-Sándor Mean in Terms of the Convex Combinations of Harmonic, Geometric, Quadratic, and Contraharmonic Means [PDF]
Abstract and Applied Analysis, 2012 We present the best possible lower and upper bounds for the Neuman-Sándor mean in terms of the convex combinations of either the harmonic and quadratic means or the geometric and quadratic means or the harmonic and contraharmonic means.
Tie-Hong Zhao, Yu-Ming Chu, Bao-Yu Liu
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Several sharp inequalities about the first Seiffert mean [PDF]
Journal of Inequalities and Applications, 2018 In this paper, we deal with the problem of finding the best possible bounds for the first Seiffert mean in terms of the geometric combination of logarithmic and the Neuman–Sándor means, and in terms of the geometric combination of logarithmic and the ...
Boyong Long, Ling Xu, Qihan Wang
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On a class of new means including the generalized Schwab-Borchardt mean [PDF]
Journal of Inequalities and Applications, 2017 The so-called Schwab-Borchardt mean plays an important role in the theory of (bivariate) means. It includes a lot of standard means, such as the logarithmic mean, the first and second Seiffert means and the Neuman-Sándor mean.
Mustapha Raïssouli, József Sándor
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Optimal bounds for Neuman-Sándor mean in terms of the geometric convex combination of two Seiffert means [PDF]
Journal of Inequalities and Applications, 2016 In this paper, we find the least value α and the greatest value β such that the double inequality P α ( a , b ) T 1 − α ( a , b ) < M ( a , b ) < P β ( a , b ) T 1 − β ( a , b ) $$P^{\alpha}(a,b)T^{1-\alpha}(a,b)< M(a,b)< P^{\beta}(a,b)T^{1-\beta}(a,b) $$
Hua-Ying Huang, Nan Wang, Bo-Yong Long
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Bounds for the Neuman–Sándor Mean in Terms of the Arithmetic and Contra-Harmonic Means
Axioms, 2022 In this paper, the authors provide several sharp upper and lower bounds for the Neuman–Sándor mean in terms of the arithmetic and contra-harmonic means, and present some new sharp inequalities involving hyperbolic sine function and hyperbolic cosine ...
Wen-Hui Li, Peng Miao, Bai-Ni Guo
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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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Bounds of the Neuman-Sándor Mean Using Power and Identric Means
Abstract and Applied Analysis, 2013 In this paper we find the best possible lower power mean bounds for the Neuman-Sándor mean and present the sharp bounds for the ratio of the Neuman-Sándor and identric means.
Yu-Ming Chu, Bo-Yong Long
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On Certain Inequalities for Neuman-Sándor Mean
Abstract and Applied Analysis, 2013 We present several new sharp bounds for Neuman-Sándor mean in terms of arithmetic, centroidal, quadratic, harmonic root square, and contraharmonic means.
Wei-Mao Qian, 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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