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Zbl 1133.26007
Simic, Slavko
On logarithmic convexity for differences of power means. (English)
[J] J. Inequal. Appl. 2007, Article ID 37359, 8 p. (2007). ISSN 1029-242X/e

Summary: We prove a new and precise inequality between the differences of power means. As a consequence, an improvement of Jensen's inequality and a converse of Hölder's inequality are obtained. Some applications in probability and information theory are also given.
MSC 2000:
*26A51 Convexity, generalizations (one real variable)
26E60 Means
26D15 Inequalities for sums, series and integrals of real functions

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