Title:
|
On convergence fields of regular matrix transformations (English) |
Author:
|
Šalát, Tibor |
Language:
|
English |
Journal:
|
Czechoslovak Mathematical Journal |
ISSN:
|
0011-4642 (print) |
ISSN:
|
1572-9141 (online) |
Volume:
|
26 |
Issue:
|
4 |
Year:
|
1976 |
Pages:
|
613-627 |
Summary lang:
|
Russian |
. |
Category:
|
math |
. |
MSC:
|
40C05 |
idZBL:
|
Zbl 0345.40006 |
idMR:
|
MR0430591 |
DOI:
|
10.21136/CMJ.1976.101432 |
. |
Date available:
|
2008-06-09T14:20:47Z |
Last updated:
|
2020-07-28 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/101432 |
. |
Reference:
|
[1] R. G. Cooke: Infinite Matrices and Sequence Spaces.(Russian translation), Moskva, 1960. Zbl 0091.11001, MR 0126098 |
Reference:
|
[2] P. Erdös A. Rényi: On Cantor's series with convergent $\sum 1/q\sb{n}$.Ann. Univ. Sci. Budap. R. Eötvös Nom. 11 (1959), 93-109. MR 0126414 |
Reference:
|
[3] С. Goffman G. M. Petersen: Submethods of regular matrix summability methods.Canad. J. Math. 8 (1956), 40-46. MR 0075320, 10.4153/CJM-1956-007-8 |
Reference:
|
[4] J. D. Hill: Summability of sequences of 0's and 1's.Ann. of Math. 46 (1945), 556-562. Zbl 0060.16011, MR 0013435, 10.2307/1969194 |
Reference:
|
[5] F. R. Koegh G. M. Petersen: A universal Tauberian theorem.J. London Math. Soc. 33 (1958), 121-123. MR 0092024 |
Reference:
|
[6] I. Niven: Irrational Numbers.Carus Monographs, 11, 1956. Zbl 0070.27101, MR 0080123 |
Reference:
|
[7] G. M. Petersen: Regular Matrix Transformations.Mc Graw-Hill, London-New York-Toronto-Sydney, 1966. Zbl 0159.35401, MR 0225045 |
Reference:
|
[8] A. Rényi: A számjegyek eloszlása valós számok Cantor-féle elöállitásaiban.Mat. Lap. 7 (1956), 77-100. MR 0099968 |
Reference:
|
[9] R. Sikorski: Funkcje rzeczywiste I.PWN, Warszawa, 1958. MR 0105468 |
Reference:
|
[10] H. Steinhaus: Kilka slów о uogólnieniu pojęcia granicy.Prace mat.-fiz. 22(1911), 121 - 134. |
Reference:
|
[11] T. Šalát: Cantorsche Entwicklungen der reellen Zahlen und das Hausdorffsche Mass.Publ. Math. Inst. Hung. Acad. Sci. VI(1961), 15-41. MR 0147465 |
Reference:
|
[12] T. Šalát: К теории Канторовских розложений действительнык чисел.Mat.-fyz. čas. SAV 12 (1962), 85-96. MR 0158193 |
Reference:
|
[13] T. Šalát: Eine metrische Eigenschaft der Cantorschen Entwicklungen der reellen Zahlen und Irrationalitätskriterien.Czechosl. Math. J. 14 (89), (1964), 254-266. MR 0168527 |
Reference:
|
[14] C. Visser: The law of nought-or-one.Studia Math. 7 (1938), 143-149. Zbl 0019.22501, 10.4064/sm-7-1-143-149 |
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