| Title:
|
Some $\lambda $-sequence spaces defined by a modulus (English) |
| Author:
|
Malkowsky, Eberhard |
| Author:
|
Savas, Ekrem |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
36 |
| Issue:
|
3 |
| Year:
|
2000 |
| Pages:
|
219-228 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
The main object of this paper is to introduce and study some sequence spaces which arise from the notation of generalized de la Vallée–Poussin means and the concept of a modulus function. (English) |
| Keyword:
|
FK |
| Keyword:
|
AK spaces |
| Keyword:
|
paranorm |
| Keyword:
|
modulus functions |
| Keyword:
|
almost convergence |
| Keyword:
|
statistical convergence |
| Keyword:
|
de la Vallée–Poussin means |
| MSC:
|
40H05 |
| MSC:
|
46A45 |
| MSC:
|
47B07 |
| idZBL:
|
Zbl 1046.40011 |
| idMR:
|
MR1785040 |
| . |
| Date available:
|
2008-06-06T22:25:59Z |
| Last updated:
|
2012-05-10 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/107735 |
| . |
| Reference:
|
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| Reference:
|
[2] H. Fast: Sur la convergence statistique.Colloq. Math. 2, (1951), 241–244 Zbl 0044.33605, MR 0048548 |
| Reference:
|
[3] I. J. Maddox: On Kuttner’s theorem.J. London Math. Soc. 43, (1968), 285–290 Zbl 0155.38802, MR 0225044 |
| Reference:
|
[4] I. J. Maddox: On strong almost convergence.Math. Proc. Camb. Phil. Soc. 85, (1979), 345–350 Zbl 0417.40007, MR 0516094 |
| Reference:
|
[5] I. J. Maddox: Sequence spaces defined by a modulus.Math. Proc. Camb. Phil. Soc., 100, (1986), 161–166 Zbl 0631.46010, MR 0838663 |
| Reference:
|
[6] I. J. Maddox: Inclusions between FK–spaces and Kuttner’s theorem.Math. Proc. Camb. Phil. Soc., 101, (1987), 523–527 Zbl 0631.46009, MR 0878899 |
| Reference:
|
[7] Nakano H.: Concave modulus.J. Math. Soc. Japon. 5, (1953), 29-49. MR 0058882 |
| Reference:
|
[8] W. H. Ruckle: FK spaces in which the sequence of coordinate vectors is bounded.Canad. J. Math., 25, (1973), 973–978 Zbl 0267.46008, MR 0338731 |
| Reference:
|
[9] E. Savas: On some generalized sequence spaces defined by a modulus.Indian J. Pure appl. Math., 30(5), (1999), 459–464 Zbl 0928.40006, MR 1694693 |
| Reference:
|
[10] E. Savas: Strong almost convergence and almost $\lambda $–statistical convergence.Hokkaido J. Math. (to appear) Zbl 0963.40001, MR 1795490 |
| Reference:
|
[11] A. Wilansky: Functional Analysis.Blaisdell Publishing Company, 1964 Zbl 0136.10603, MR 0170186 |
| Reference:
|
[12] A. Wilansky: Summability through Functional Analysis.North–Holland Mathematical Studies 85, 1984 Zbl 0531.40008, MR 0738632 |
| Reference:
|
[13] A. Zygmund: Trigonometric Series.Second Edition, Cambridge University Press (1979) |
| . |
