Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4664034 | Acta Mathematica Scientia | 2012 | 8 Pages |
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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