TWO TAUBERIAN REMAINDER THEOREMS FOR THE CESÀRO METHOD OF SUMMABILITY
Ivar Tammeraid · Proceedings of the Estonian Academy of Sciences Physics Mathematics · 2000
The Tauberian remainder theorems for the Cesaro method of summability are studied using two different methods of the proof.Theorem 1 is proved by applying the method of summability with a given rapidity.Theorem 2 is proved using several consequences of one basic Wiener's Tauberian remainder theorem proved by A. Beurling.Both theorems are connected with the hypothesis of G. Kangro (see Tammeraid, I. Metody algebry i analiza, 111. 1988, 113-114)..