ON TWO NEW MEANS OF TWO ARGUMENTS III

Abstract

In this paper we establish two sided inequalities for the following two new means X=X(a,b)=Ae^(G/P−1), 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