| Title:
|
Vector valued paranormed statistically convergent double sequence spaces (English) |
| Author:
|
Tripathy, Binod Chandra |
| Author:
|
Sarma, Bipul |
| Language:
|
English |
| Journal:
|
Mathematica Slovaca |
| ISSN:
|
0139-9918 |
| Volume:
|
57 |
| Issue:
|
2 |
| Year:
|
2007 |
| Pages:
|
[179]-188 |
| . |
| Category:
|
math |
| . |
| MSC:
|
40A05 |
| idZBL:
|
Zbl 1150.40005 |
| idMR:
|
MR2357816 |
| . |
| Date available:
|
2009-09-25T14:37:29Z |
| Last updated:
|
2012-08-01 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/136946 |
| . |
| Reference:
|
[1] COLAK R.-TURKMENOGLU A.: The double sequence spaces $\ell^2_\infty(p)$, $c_0^2(p)$ and $c^2(p)$.(To appear). |
| Reference:
|
[2] FAST H.: Sur la convergence statistique.Colloq. Math. 2 (1951), 241-244. Zbl 0044.33605, MR 0048548 |
| Reference:
|
[3] FRIDY J. A.-ORHAN C.: Statistical limit superior and limit inferior.Proc. Amer. Math. Soc. 125 (1997), 3625-3631. Zbl 0883.40003, MR 1416085 |
| Reference:
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[4] HARDY G. H.: On the convergence of certain multiple series.Math. Proc. Cambridge Philos. Soc. 19 (1917), 86-95. |
| Reference:
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[5] MADDOX I. J.: Paranormed sequence spaces generated by infinite matrices.Math. Proc. Cambridge Philos. Soc. 64 (1968), 335-340. MR 0222514 |
| Reference:
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[6] MORICZ F.: Extension of the spaces $c$ and $c_0$ from single to double sequences.Acta Math. Hungar. 57 (1991), 129-136. MR 1128849 |
| Reference:
|
[7] NAKANO H.: Modular sequence spaces.Proc. Japan Acad. Ser. A Math. Sci. 27 (1951) 508-512. MR 0047929 |
| Reference:
|
[8] NANDA S.: Strongly almost summable and strongly almost convergent sequences.Acta Math. Hungar. 49 (1987), 71-76. Zbl 0658.40008, MR 0869663 |
| Reference:
|
[9] RATH D.-TRIPATHY B. C.: Matrix maps on sequence spaces associated with sets of integers.Indian J. Pure Appl. Math. 27 (1996), 197-206. Zbl 0843.47017, MR 1375143 |
| Reference:
|
[10] ŠALÁT T.: On statistically convergent sequences of real numbers.Math. Slovaca 30 (1980), 139-150. Zbl 0437.40003, MR 0587239 |
| Reference:
|
[11] SCHOENBERG I. J.: The integer ability of certain functions and related summability methods.Amer. Math. Monthly 66 (1959), 361-375. MR 0104946 |
| Reference:
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[12] SIMONS S.: The sequence spaces $l_(p\nu)$ and $m(p\nu)$.Proc. London Math. Soc. (3) 15 (1965), 422-436. MR 0176325 |
| Reference:
|
[13] TRIPATHY B. C.: Matrix transformation between some class of sequences.J. Math. Anal. Appl. 206 (1997) 448-450. MR 1433948 |
| Reference:
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[14] TRIPATHY B. C.: Statistically convergent double sequences.Tamkang J. Math. 34 (2003) 231-237. Zbl 1040.40001, MR 2001918 |
| Reference:
|
[15] TRIPATHY B. C.-SEN M.: On generalized statistically convergent sequences.Indian J. Pure Appl. Math. 32 (2001), 1689-1694. Zbl 0997.40001, MR 1880358 |
| Reference:
|
[16] TURKMENOGLU A.: Matrix transformation between some classes of double sequencies.J. Inst. Math. Comput. Sci. Math. Ser. 12 (1999), 23-31. MR 1693417 |
| . |
