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A best possible double inequality for power mean
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نویسنده
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li y.-m. ,long b.-y. ,chu y.-m.
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منبع
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journal of applied mathematics - 2012 - دوره : 2012 - شماره : 0
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چکیده
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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 μ = μ (p,q),such that the double inequality m λ(a,b) < √m p(a,b)m q(a,b)<m μ(a,b) holds for all a,b > 0 with a ≠ b ? where m p (a,b) is the p th power mean of two positive numbers a and b. © 2012 yong-min li et al.
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آدرس
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department of mathematics,huzhou teachers college, China, school of mathematics science,anhui university, China, department of mathematics,huzhou teachers college, China
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Authors
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