A Nice Separation of Some Seiffert-Type Means by Power Means

الملخص EN

Seiffert has defined two well-known trigonometric means denoted by ? and ?.

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 ?, ?, and ℒ and some power means ?p.

We add to these inequalities two new results obtaining the following nice chain of inequalities ?0<ℒ