Geodesic
On two new means of two arguments~III
Problemy analiza, Tome 7 (2018) no. 1, pp. 116-133

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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 $L$.
Keywords: inequalities; means of two arguments; identric mean; logarithmic mean. 
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     author = {J. S\'andor and B. A. Bhayo},
     title = {On two new means of two {arguments~III}},
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     language = {en},
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J. Sándor; B. A. Bhayo. On two new means of two arguments~III. Problemy analiza, Tome 7 (2018) no. 1, pp. 116-133. http://geodesic.mathdoc.fr/item/PA_2018_7_1_a7/