关于一类包括广义施瓦布 - 博查特均值的新均值。
On a class of new means including the generalized Schwab-Borchardt mean.
作者信息
Raïssouli Mustapha, Sándor József
机构信息
Department of Mathematics, Science Faculty, Taibah University, P.O. Box 30097, Al Madinah Al Munawwarah, 41477 Saudi Arabia.
Department of Mathematics, Faculty of Science, Moulay Ismail University, Meknes, Morocco.
出版信息
J Inequal Appl. 2017;2017(1):136. doi: 10.1186/s13660-017-1412-1. Epub 2017 Jun 13.
The so-called Schwab-Borchardt mean plays an important role in the theory of (bivariate) means. It includes a lot of standard means, such as the logarithmic mean, the first and second Seiffert means and the Neuman-Sándor mean. In this paper, we investigate an approach which allows us to construct a class of new means. Such class includes the (generalized) Schwab-Borchardt mean and other old/new means derived as well.
所谓的施瓦布 - 博查特均值在（二元）均值理论中起着重要作用。它包含许多标准均值，如对数均值、第一和第二赛弗特均值以及诺伊曼 - 桑多尔均值。在本文中，我们研究一种方法，该方法使我们能够构造一类新的均值。这类均值包括（广义的）施瓦布 - 博查特均值以及由此推导出来的其他新旧均值。
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