ACTA issues

Two Tauberian theorems for Dirichlet series methods of summability

Jochen Beurer, David Borwein, Werner Kratz

Acta Sci. Math. (Szeged) 65:1-2(1999), 139-168

Abstract. We extend known Tauberian results concerning the power series method of summability to results concerning the more general summability method $D_{\lambda,a}$ based on the Dirichlet series $\sum a_n e^{- \lambda_nx}.$

AMS Subject Classification (1991): 40G10, 40E05

Keyword(s): Tauberian, Dirichlet series methods

Received November 11, 1998 and in revised form December 21, 1998. (Registered under 2678/2009.)