On two new means of two arguments III

In this paper we establish two sided inequalities for the following two new means
$$ X=X(a,b)=Ae^{G/P-1},\qquad Y=Y(a,b)=Ge^{L/A-1}, $$
where $A$, $G$, $L$ and $P$ are the arithmetic, geometric, logarithmic, and Seiffert means, respectively. As an application, we refine many other well known inequalities involving the identric mean $I$ and the logarithmic mean $L$.