On iteration products preserving absolute convergence.

T. Pati; M. S. Ramanujan

Bollettino dell'Unione Matematica Italiana (1962)

  • Volume: 17, Issue: 4, page 385-393
  • ISSN: 0392-4041

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Pati, T., and Ramanujan, M. S.. "On iteration products preserving absolute convergence.." Bollettino dell'Unione Matematica Italiana 17.4 (1962): 385-393. <http://eudml.org/doc/196148>.

@article{Pati1962,
author = {Pati, T., Ramanujan, M. S.},
journal = {Bollettino dell'Unione Matematica Italiana},
keywords = {series, summability},
language = {eng},
month = {12},
number = {4},
pages = {385-393},
publisher = {Zanichelli},
title = {On iteration products preserving absolute convergence.},
url = {http://eudml.org/doc/196148},
volume = {17},
year = {1962},
}

TY - JOUR
AU - Pati, T.
AU - Ramanujan, M. S.
TI - On iteration products preserving absolute convergence.
JO - Bollettino dell'Unione Matematica Italiana
DA - 1962/12//
PB - Zanichelli
VL - 17
IS - 4
SP - 385
EP - 393
LA - eng
KW - series, summability
UR - http://eudml.org/doc/196148
ER -

References

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  1. HARDY, G. H., Divergent Series, (Oxford, 1949). Zbl0032.05801MR30620
  2. JAKIMOVSKI, A.. The sequence-to-function analogues to HAUSDORFF transformations. «Bull. Res. Council Israel, Sect. F», 8 (1960), 135-154. Zbl0094.26501MR126095
  3. JAKIMOVSKI, A., The sequence-to-function analogues to quasi-HAUSDORFF transformations «Acad. Serbe Sci. Publ. Inst. Math.», 14 (1960), 1-8. Zbl0098.26803MR125365
  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. Zbl0059.04603MR63457
  6. PATI, T., Product of summability methods and MERCERIAN transformations, «Proc. Nat. Inst. Sci. India. Part A.», 23 (1957), 514-521. Zbl0083.04603MR95363
  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. Zbl0113.04703
  8. RAJAGOPAL, C. T., Theorems on the product of summability methods with applications, «J. Indian. Math. Soc. (New Series)», 18 (1954), 89-105. Zbl0057.29401MR67222
  9. RAMANUJAN, M. S., Series-to-series quasi-HAUSDORFF transformations, «J. Indian Math. Soc. (New Series)», 17 (1953), 47-53. Zbl0051.04603MR56723
  10. RAMANUJAN, M. S., Theorems on the product of quasi-HAUSDORFF and ABEL transforms, «Math. Z.», 64 (1956), 442-447. Zbl0073.27902MR82574
  11. RAMANUJAN, M. S., On products of summability methods, «Math. Z.» 69 (1958), 423-428. Zbl0083.04602MR102678
  12. SZÀSZ, O., On products of summability methods «Proc. Amer. Math. Soc.», 3 (1952), 257-263. Zbl0046.29004MR47152
  13. SZÀSZ, O., On the product of two summability methods, «Ann. Soc. Polon. Math.», 25 (1952/53, 75-84. Zbl0049.04402MR56108

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