%0 Journal Article
%T Effective Summation and Interpolation of Series by Self-Similar Root Approximants
%A S. Gluzman
%A V. I. Yukalov
%J Physics
%D 2015
%I arXiv
%X We describe a simple analytical method for effective summation of series, including divergent series. The method is based on self-similar approximation theory resulting in self-similar root approximants. The method is shown to be general and applicable to different problems, as is illustrated by a number of examples. The accuracy of the method is not worse, and in many cases better, than that of Pade approximants, when the latter can be defined.
%U http://arxiv.org/abs/1506.06593v1