Mayes, Vivienne; Rhoades, B. E. Some properties of the Leininger generalized Hausdorff matrix. (English) Zbl 0453.40003 Houston J. Math. 6, 287-299 (1980). 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 Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 1 Review MSC: 40G05 Cesàro, Euler, Nörlund and Hausdorff methods 40C05 Matrix methods for summability Keywords:Hausdorff method; Cesaro matrices; Borel property Citations:Zbl 0167.332; Zbl 0167.33201 PDFBibTeX XMLCite \textit{V. Mayes} and \textit{B. E. Rhoades}, Houston J. Math. 6, 287--299 (1980; Zbl 0453.40003)