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Some properties of the Leininger generalized Hausdorff matrix. (English) Zbl 0453.40003

C. W. Leininger [Proc. Am. Math. Soc. 20, 88–96 (1969; Zbl 0167.33201)] defined the matrix \(H^{(s)}\) as a generalization of the well-known Hausdorff method. The authors investigate these matrices \(H^{(s)}\) in some detail. They determine the set intersection of this class with that of some well-known classes such as the Cesàro matrices; they also consider sufficient conditions for the regularity and co-nullity of \(H^{(s)}\) and they make some preliminary remarks on the Borel property of these methods.
Reviewer: M. S. Ramanujan

MSC:

40G05 Cesàro, Euler, Nörlund and Hausdorff methods
40C05 Matrix methods for summability
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