Some inequalities for power series with positive coefficients [articol]

Abstract

In this paper we use a technique given by Ibrahim, Dragomir and Mortici, in order to prove and enunciate several inequalities starting from some classical inequalities. We present an improvement of Nesbitt’s inequality and also a reverse of Nesbitt’s inequality. Other important results which appear in the paper are some generalizations of well-known inequalities obtained by convergent power series with positive coefficients.