On iteration products preserving absolute convergence.
Pati, T. ; Ramanujan, M. S.
Bollettino dell'Unione Matematica Italiana, Tome 17 (1962), p. 385-393 / Harvested from Biblioteca Digitale Italiana di Matematica
Publié le : 1962-12-01
@article{BUMI_1962_3_17_4_385_0,
     author = {T. Pati and M. S. Ramanujan},
     title = {On iteration products preserving absolute convergence.},
     journal = {Bollettino dell'Unione Matematica Italiana},
     volume = {17},
     year = {1962},
     pages = {385-393},
     zbl = {0109.28504},
     mrnumber = {161068},
     language = {en},
     url = {http://dml.mathdoc.fr/item/BUMI_1962_3_17_4_385_0}
}
Pati, T.; Ramanujan, M. S. On iteration products preserving absolute convergence.. Bollettino dell'Unione Matematica Italiana, Tome 17 (1962) pp. 385-393. http://gdmltest.u-ga.fr/item/BUMI_1962_3_17_4_385_0/

[1] Hardy, G. H., Divergent Series, (Oxford, 1949). | MR 30620 | Zbl 0032.05801

[2] Jakimovski, A.. The sequence-to-function analogues to HAUSDORFF transformations. «Bull. Res. Council Israel, Sect. F», 8 (1960), 135-154. | MR 126095 | Zbl 0094.26501

[3] Jakimovski, A., The sequence-to-function analogues to quasi-HAUSDORFF transformations «Acad. Serbe Sci. Publ. Inst. Math.», 14 (1960), 1-8. | MR 125365 | Zbl 0098.26803

[4] Jakimovski, A., On the iteration product of summability methods; New classes of transformations and their properties, «Technical Report No. 2, Contract No. AF 61 (052)-187.», 1959; 62 pp.

[5] Pati, T.. Product of summability methods, «Proc. Nat. Inst. Sci. India. Part A.», 20 (1954), 348-351. | MR 63457 | Zbl 0059.04603

[6] Pati, T., Product of summability methods and MERCERIAN transformations, «Proc. Nat. Inst. Sci. India. Part A.», 23 (1957), 514-521. | MR 95363 | Zbl 0083.04603

[7] Pati, T., and Lal, S. N., The product of a logarithmic method and th sequence-to-sequence quasi-HAUSDORF method, «Proc. Japan Academi», vol. 38, N° 8. | Zbl 0113.04703

[8] Rajagopal, C. T., Theorems on the product of summability methods with applications, «J. Indian. Math. Soc. (New Series)», 18 (1954), 89-105. | MR 67222 | Zbl 0057.29401

[9] Ramanujan, M. S., Series-to-series quasi-HAUSDORFF transformations, «J. Indian Math. Soc. (New Series)», 17 (1953), 47-53. | MR 56723 | Zbl 0051.04603

[10] Ramanujan, M. S., Theorems on the product of quasi-HAUSDORFF and ABEL transforms, «Math. Z.», 64 (1956), 442-447. | MR 82574 | Zbl 0073.27902

[11] Ramanujan, M. S., On products of summability methods, «Math. Z.» 69 (1958), 423-428. | MR 102678 | Zbl 0083.04602

[12] Szàsz, O., On products of summability methods «Proc. Amer. Math. Soc.», 3 (1952), 257-263. | MR 47152 | Zbl 0046.29004

[13] Szàsz, O., On the product of two summability methods, «Ann. Soc. Polon. Math.», 25 (1952/53, 75-84. | MR 56108 | Zbl 0049.04402