Gini-Means不等式的加细及其与散度测度的联系
Refinement of Gini-Means Inequalities and Connections with Divergence Measures
摘要:
1938年,基尼研究了具有两个参数的均值。后来,许多作者研究了这个平均值的性质。它包含作为特殊情况下,著名的手段,如谐波,几何,算术等,它还包含,权力的平均秩序r和莱默平均作为特殊情况。在本文中,我们考虑了由Gini平均和Heron平均引起的不等式,并根据作者最近研究的结果(Taneja,2011)改进了它们。
英文摘要:
In 1938, Gini studied a mean having two parameters. Later, many authors studied properties of this mean. It contains as particular cases the famous means such as harmonic, geometric, arithmetic, etc. Also it contains, the power mean of order r and Lehmer mean as particular cases. In this paper we have considered inequalities arising due to Gini-Mean and Heron's mean, and improved them based on the results recently studied by the author (Taneja, 2011).
机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。