On two new means of two arguments III

Abstract

In this paper authors establish the two sided inequalities for the following two new means $$X=X(a,b)=A{e}^{G/P-1},Y=Y(a,b)=G{e}^{L/A-1}.$$ As well as many other well known inequalities involving the identric mean $I$ and the logarithmic mean are refined from the literature as an application.

arXiv comment14. arXiv admin note: substantial text overlap with arXiv:1509.01977