An Extension of Two Results of Hardy
DOI:
https://doi.org/10.5644/SJM.09.1.08Keywords:
Factorable matrices, weighted mean matricesAbstract
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
F. Aydin Akgun and B. E. Rhoades, Factorable generalized Hausdorff matrices, J. Advanced Math. Studies, 3 (1) (2010), 1–8.
Frank P. Cass and B. E. Rhoades Mercerian theorems via spectral theory, Pacific J. Math., 7 (1) (1977), 63–71.
E. Ces´aro, Atti d. R. Acad. d Lincei Rend, 4 (4) (1888), 452-457.
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.