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Sharp power mean bounds for the one-parameter harmonic mean
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نویسنده
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chu y.-m. ,wu l.-m. ,song y.-q.
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منبع
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journal of function spaces - 2015 - دوره : 2015 - شماره : 0
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چکیده
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We present the best possible parameters α = α(r) and β = β(r) such that the double inequality mα(a,b) < hr(a,b) < mβ(a,b) holds for all r ∈ (0,1/2) and a,b > 0 with a ne; b,where mp(a,b) = [(ap + bp)/2]1/p (p ≠ 0) and m0(a,b) = √ab and hr(a,b) = 2[ra + (1 - r)b][rb + (1 - r)a]/(a + b) are the power and one-parameter harmonic means of a and b,respectively. copyright © 2015 yu-ming chu et al.
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آدرس
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school of mathematics and computation sciences,hunan city university, China, department of mathematics,huzhou university, China, school of mathematics and computation sciences,hunan city university, China
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Authors
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