Sharp Power Mean Bounds for the Combination of Seiffert and Geometric Means

Yu-Ming Chu, Ye-Fang Qiu and Miao-Kun Wang

Abstract and Applied Analysis, 2010, vol. 2010, issue 1

Abstract: We answer the question: for α ∈ (0, 1), what are the greatest value p and the least value q such that the double inequality Mp(a, b) 0 with a ≠ b. Here, Mp(a, b), P(a, b), and G(a, b) denote the power of order p, Seiffert, and geometric means of two positive numbers a and b, respectively.

Date: 2010
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https://doi.org/10.1155/2010/108920

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2010:y:2010:i:1:n:108920

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