A Nice Separation of Some Seiffert-Type Means by Power Means
نویسندگان
چکیده
Seiffert has defined two well-known trigonometric means denoted by P and T. In a similar way it was defined by Carlson the logarithmic mean L as a hyperbolic mean. Neuman and Sándor completed the list of such means by another hyperbolic mean M. There are more known inequalities between the means P, T, and L and some power means Ap. We add to these inequalities two new results obtaining the following nice chain of inequalities A0 < L < A1/2 < P < A1 < M < A3/2 < T < A2, where the power means are evenly spaced with respect to their order.
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ورودعنوان ژورنال:
- Int. J. Math. Mathematical Sciences
دوره 2012 شماره
صفحات -
تاریخ انتشار 2012