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Title: Optimal Inequalities for Power Means.
Authors: Li, Yong-Min; Long, Bo-Yong; Chu, Yu-Ming; Gong, Wei-Ming
Abstract: We present the best possible power mean bounds for the product Mpɑ (a, b)M-p1-ɑ(a, b) for any p > 0, ɑ ∈ (0, 1), and all a, b > 0 with a ≠ b. Here, Mp(a, b) is the pth powermean of two positive numbers a and b.
Subjects: MATHEMATICAL inequalities; ARITHMETIC mean; MATHEMATICAL bounds; NUMBER theory; INFINITE processes; PROBABILITY theory; MATHEMATICAL analysis
Publication: Journal of Applied Mathematics, 2012, p1
ISSN: 1110-757X
Publication type: Academic Journal
DOI: 10.1155/2012/182905

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Optimal Inequalities for Power Means.