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Tatevik L. Gharibyan, Wolfgang Luh, Jürgen Müller

Lacunary (R,p,M)-summability

Keywords: weighted mean methods, analytic continuation, universal approximation, density properties

In this article summability methods of weighted mean type are considered which are generated by a lacunary sequence of positive minimal density. The interdependencies between the topological structure of the summability domain for the geometric sequence (and as its consequences for general power series) are discussed. In addition some results on universal approximation are proved.

Analysis, Oldenbourg Wissenschaftsverlag

Print ISSN: 0174-4747
Volume: 27, 02/2007
Pages: 311 - 321

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