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THE LOG-CONVEXITY OF ANOTHER CLASS OF ONE-PARAMETER MEANS AND ITS APPLICATIONS

Zhen-Hang Yang
대한수학회 (The Korean Mathematical Society)|2012.01|대한수학회보 (Bulletin of the KMS)|제49권 제1호|pp. 33-47

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참고문헌

키워드

inequalitylog-convexityStolarsky meanGini meanone-parameter homogeneous functions
주제분류수학

초록

In this paper, the log-convexity of another class one-para-meter mean is investigated. As applications, some new upper and lower bounds of logarithmic mean, new estimations for identric mean and new inequalities for power-exponential mean and exponential-geometric mean are first given.

Abstract

In this paper, the log-convexity of another class one-para-meter mean is investigated. As applications, some new upper and lower bounds of logarithmic mean, new estimations for identric mean and new inequalities for power-exponential mean and exponential-geometric mean are first given.

참고문헌 (42)

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