Logarithmic convexity of extended mean values

Qi, Feng

doi:10.1090/S0002-9939-01-06275-X

Logarithmic convexity of extended mean values

Author: Feng Qi
Journal: Proc. Amer. Math. Soc. 130 (2002), 1787-1796
MSC (2000): Primary 26A51; Secondary 26B25, 26D07
DOI: https://doi.org/10.1090/S0002-9939-01-06275-X
Published electronically: December 20, 2001
MathSciNet review: 1887027
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Abstract: In this article, the logarithmic convexity of the extended mean values are proved and an inequality of mean values is presented. As by-products, two analytic inequalities are derived. Two open problems are proposed.

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