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Logarithmic convexity of the one-parameter mean values

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Publication:2470804
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DOI10.11650/twjm/1500404648zbMath1132.26324OpenAlexW1535570619MaRDI QIDQ2470804

Yanyan Li

Publication date: 15 February 2008

Published in: Taiwanese Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.11650/twjm/1500404648



Mathematics Subject Classification ID

Convexity of real functions in one variable, generalizations (26A51) Monotonic functions, generalizations (26A48) Convexity of real functions of several variables, generalizations (26B25) Inequalities involving other types of functions (26D07)


Related Items (7)

The Function (b x − a x )∕x: Ratio’s Properties ⋮ Sharp approximations for the complete elliptic integrals of the second kind by one-parameter means ⋮ The monotonicity results for the ratio of certain mixed means and their applications ⋮ On complete monotonicity of linear combination of finite psi functions ⋮ Optimal bounds for Seiffert mean in terms of one-parameter means ⋮ Sharp one-parameter mean bounds for Yang mean ⋮ Alternative proofs for monotonic and logarithmically convex properties of one-parameter mean values




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