The optimal generalized logarithmic mean bounds for Seiffert's mean |
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| Authors: | Chu Yuming Wang Miaokun Wang Gendi |
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| Affiliation: | 1. Department of Mathematics, Hunan City University, Yiyang 413000, China;2. College of Mathematics and Econometrics, Hunan University, Changsha 410082, China;3. Department of Mathematics, Huzhou Teachers College, Huzhou 313000, China |
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| Abstract: | For p ∈ R, the generalized logarithmic mean Lp(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 Lp(a,b) < T(a,b) < Lq(a,b) holds for all a,b > 0 and a ≠ b. |
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| Keywords: | generalized logarithmic mean Seiffert's mean power mean |
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