An Extension of Two Results of Hardy

Authors

  • B. E. Rhoades Department of Mathematics, Indiana University, Bloomington, IN, U.S.A.

DOI:

https://doi.org/10.5644/SJM.09.1.08

Keywords:

Factorable matrices, weighted mean matrices

Abstract

In this paper we extend two results of Hardy, dealing with regular weighted mean matrices, to coregular factorable matrices.

 

2010 Mathematics Subject Classification. Primary: 40G99; Secondary: 40C05.

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References

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G. H. Hardy, On certain oscillating series, Quart. J. Math., 38 (1907), 269–288.

G. H. Hardy, Divergent Series, Clarendon Press, Oxford, 1949.

F. Hausdorff, Summationsmethoden und Momentfolgen, II, Math. Z., 9 (1921), 280–299.

A. Jakimovski, The product of summability methods; new classes of transformations and their properties, II, Note No 4, Contract Number AF61-(052)-187, August, 1959.

Albert Wilansky and Karl Zeller, The inverse matrix in summability: reversible matrices, J. London Math. Soc., 32 (1957), 397–408.

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Published

07.06.2024

How to Cite

Rhoades, B. E. (2024). An Extension of Two Results of Hardy. Sarajevo Journal of Mathematics, 9(1), 95–100. https://doi.org/10.5644/SJM.09.1.08

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