Asymptotic Improvement of Resummation and Perturbative Predictions in   Quantum Field Theory
  The improvement of resummation algorithms for divergent perturbative expansions in quantum field theory by asymptotic information about perturbative coefficients is investigated. Various asymptotically optimized resummation prescriptions are considered. The improvement of perturbative predictions beyond the reexpansion of rational approximants is discussed. 
U. D. Jentschura, E. J. Weniger, G. Soff