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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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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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Sharp Generalized Seiffert Mean Bounds for Toader Mean [PDF]
Abstract and Applied Analysis, 2011 For p∈[0,1], the generalized Seiffert mean of two positive numbers a and b is defined by Sp(a,b)=p(a-b)/arctan[2p(a-b)/(a+b ...
Yu-Ming Chu +3 more
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Optimal Two Parameter Bounds for the Seiffert Mean [PDF]
Journal of Applied Mathematics, 2013 We obtain sharp bounds for the Seiffert mean in terms of a two parameter family of means. Our results generalize and extend the recent bounds presented in the Journal of Inequalities and Applications (2012) and Abstract and Applied Analysis (2012).
Hui Sun, Ying-Qing Song, Yu-Ming Chu
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Sharp Bounds for Seiffert Mean in Terms of Contraharmonic Mean [PDF]
Abstract and Applied Analysis, 2012 We find the greatest value α and the least value β in (1/2,1) such that the double inequality C(αa+(1-α)b,αb+(1-α)a)
Yu-Ming Chu, Shou-Wei Hou
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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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Optimal Bounds for Seiffert Mean in terms of One-Parameter Means [PDF]
Journal of Applied Mathematics, 2012 The authors present the greatest value r1 and the least value r2 such that the double inequality Jr1(a, b)
Hua-Nan Hu, Guo-Yan Tu, Yu-Ming Chu
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Sharp Power Mean Bounds for Two Seiffert-like Means
Axioms, 2023 The mean is a subject of extensive study among scholars, and the pursuit of optimal power mean bounds is a highly active field. This article begins with a concise overview of recent advancements in this area, focusing specifically on Seiffert-like means.
Zhenhang Yang, Jing Zhang
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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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Sharp Power Mean Bounds for the Combination of Seiffert and Geometric Means [PDF]
Abstract and Applied Analysis, 2010 We answer the question: for α∈(0,1), what are the greatest value p and the least value q such that the double inequality Mp(a,b)
Yu-Ming Chu, Ye-Fang Qiu, Miao-Kun Wang
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