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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
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Category: math
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MSC: 40C05
idZBL: Zbl 0345.40006
idMR: MR0430591
DOI: 10.21136/CMJ.1976.101432
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Date available: 2008-06-09T14:20:47Z
Last updated: 2020-07-28
Stable URL: http://hdl.handle.net/10338.dmlcz/101432
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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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