| THE OPTIMAL GENERALIZED LOGARITHMIC MEAN BOUNDS FOR SEIFFERT’S MEAN |
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| 引用本文： | 褚玉明,王淼坤,王根娣.THE OPTIMAL GENERALIZED LOGARITHMIC MEAN BOUNDS FOR SEIFFERT’S MEAN[J].数学物理学报(B辑英文版),2012(4):1619-1626. |
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| 作者姓名： | 褚玉明 王淼坤 王根娣 |
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| 作者单位： | Department of Mathematics, Hunan City University,Yiyang 413000, China;College of Mathematics and Econometrics, Hunan University,Changsha 410082, China;Department of Mathematics, Huzhou Teachers College,Huzhou 313000, China |
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| 基金项目： | This research was supported by the National Natural Science Foundation of China （11071069 and 11171307）, Natural Science Foundation of Hunan Province （09JJ6003） and Innovation Team Foundation of the Department of Education of Zhejiang Province （T200924）. |
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| 摘 要： | For p ∈ R, the generalized logarithmic mean L p (a, b) and Seiffert’s mean T (a, b) of two positive real numbers a and b are defined in (1.1) and (1.2) below respectively. In this paper, we find the greatest p and least q such that the double-inequality L p (a, b) < T (a, b) < L q (a, b) holds for all a, b > 0 and a ≠b.
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| 关 键 词： | generalized logarithmic mean Seiffert’s mean power mean |
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