Inequalities for the Schwab-Borchardt mean and their applications
نویسنده
چکیده
Inequalities for the Schwab-Borchardt mean are obtained. They contain known results for the trigonometric and hyperbolic functions including those obtained by J. Wilker [15] and C. Huygens [5]. The main results of this paper can also be utilized to obtain new inequalities for some bivariate means including the logarithmic mean and two means introduced by Seiffert. Mathematics subject classification (2010): Primary: 26D05, 26D07, 33B10.
منابع مشابه
On a class of new means including the generalized Schwab-Borchardt mean
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...
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تاریخ انتشار 2011