Sharp Bounds for Seiffert Mean in Terms of Contraharmonic Mean

Yu-Ming Chu and Shou-Wei Hou

Abstract and Applied Analysis, 2012, vol. 2012, issue 1

Abstract: We find the greatest value α and the least value β in (1/2, 1) such that the double inequality C(αa + (1 − α)b, αb + (1 − α)a) 0 with a ≠ b. Here, T(a, b) = (a − b)/[2 arctan((a − b)/(a + b))] and C(a, b) = (a2 + b2)/(a + b) are the Seiffert and contraharmonic means of a and b, respectively.

Date: 2012
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https://doi.org/10.1155/2012/425175

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2012:y:2012:i:1:n:425175

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