Results 11 to 20 of about 65 (60)
Optimal bounds for two Sándor-type means in terms of power means
Journal of Inequalities and Applications, 2016 In the article, we prove that the double inequalities M α ( a , b ) < S Q A ( a , b ) < M β ( a , b ) $M_{\alpha }(a,b)< S_{QA}(a,b)< M_{\beta}(a,b)$ and M λ ( a , b ) < S A Q ( a , b ) < M μ ( a , b ) $M_{\lambda }(a,b)< S_{AQ}(a,b)< M_{\mu}(a,b)$ hold ...
Tie-Hong Zhao +2 more
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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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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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Sharp inequalities for the Neuman-Sandor mean in terms of arithmetic and contra-harmonic means
Journal of Numerical Analysis and Approximation Theory, 2013 In this paper, we find the greatest values \(\alpha\) and \(\lambda\), and the least values \(\beta\) and \(\mu\) such that the double inequalities \[C^{\alpha}(a,b)A^{1-\alpha}(a,b)
Yu-Ming Chu, Miao-Kun Wang, Bao-Yu Liu
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On the p-Version of the Schwab-Borchardt Mean
International Journal of Mathematics and Mathematical Sciences, 2014 This paper deals with a one-parameter generalization of the Schwab-Borchardt mean. The new mean is defined in terms of the inverse functions of the generalized trigonometric and generalized hyperbolic functions.
Edward Neuman
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A Nice Separation of Some Seiffert-Type Means by Power Means
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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On some special combination inequalities for Neuman -Sándor mean(关于Neuman-Sándor 平均的一些特殊组合不等式)
Zhejiang Daxue xuebao. Lixue ban, 2019 研究了Neuman-Sándor 平均NS（a，b）关于调和平均H （a，b）、算术平均A（a，b）、二次平均Q （a，b）若干特殊组合的序关系，给出最佳参数α1，α2，α3，α4，β1，β2，β3，β4∈ （0，1），使得下列双向不等式：对所有不同的正实数a 和b 均成立。
XURenxu(徐仁旭) +2 more
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Best Possible Bounds for Neuman-Sándor Mean by the Identric, Quadratic and Contraharmonic Means
Abstract and Applied Analysis, 2013 We prove that the double inequalities Iα1(a,b)Q1-α1(a,b)
Tie-Hong Zhao +3 more
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Bounds for the Arithmetic Mean in Terms of the Neuman-Sándor and Other Bivariate Means
Journal of Applied Mathematics, 2013 We present the largest values α1, α2, and α3 and the smallest values β1, β2, and β3 such that the double inequalities α1M(a,b)+(1-α1)H(a,b)
Fan Zhang, Yu-Ming Chu, Wei-Mao Qian
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Abstract and Applied Analysis, 2013 We give the greatest values r1, r2 and the least values s1, s2 in (1/2, 1) such that the double inequalities C(r1a+(1-r1)b,r1b+(1-r1)a)
Zai-Yin He +4 more
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