Lacunary (R, p, M)-summability

Tatevik L. Gharibyan, Wolfgang Luh and Jürgen Müller

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.

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Analysis is devoted to the field of mathematical analysis, in particular classical analysis and its applications. Its aim is to publish the best research articles within the scope of the journal, as well as to boost the cooperation between scholars.