2 research outputs found

    A Best Possible Double Inequality for Power Mean

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    We answer the question: for any p,q∈ℝ with p≠q and p≠-q, what are the greatest value λ=λ(p,q) and the least value ÎŒ=ÎŒ(p,q), such that the double inequality Mλ(a,b)0 with a≠b? Where Mp(a,b) is the pth power mean of two positive numbers a and b
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