PUBLICATIONS DE L'INSTITUT MATHÉMATIQUE (BEOGRAD) (N.S.)
Vol. 71(85), pp. 105--111 (2002)
TAUBERIAN RETRIEVAL THEORY
\v Caslav Stanojevi\'c and Vera Stanojevi\'c202 Rolla Building, UMR, Rolla, MO 65409-0020, USA and Department of Mathematics, Southwest Missouri State University, Springfield, MO 65804, USA
Abstract: Karamata's Hauptsatz  and its corollary is the main tool for convergence recovery from Abel's necessary conditions and the control of oscillatory behavior of limiting processes. By modifying the basic discovery from , relaxing Abel's necessary conditions and lightening the control of oscillatory behavior an extended Tauberian theory is outlined. This theory goes beyond convergence recovery. It retrieves various kinds of moderate divergence.
Classification (MSC2000): 40E05
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