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Optimal Lehmer mean bounds for the $n$th power-type Toader means of n=-1,1,3

Optimal Lehmer mean bounds for the $n$th power-type Toader means of n=-1,1,3

In the article, we prove that λ 1 = 0 , μ 1 = 5/8 , λ 2 = -1/8 , μ 2 = 0 , λ 3 = -1 and μ 3 = -7/8 are the best possible parameters such that the double inequalitieshold for a,b > 0 with …