Sharp bounds for Seiffert means in terms of Lehmer means

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Two sharp double inequalities for Seiffert mean (2011, background): “Wang, Qiu, and Chu [3] established that T(a, b) < L1/3(a, b) for all a, b > 0 with a ≠ b, where Lp(a, b) = (a p+1 + b) = (a + b) is the Lehmer mean of a and b.”