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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