Title:
|
Strongly almost convergent generalized difference sequences associated with multiplier sequences (English) |
Author:
|
Esi, Ayhan |
Author:
|
Tripathy, Binod Chandra |
Language:
|
English |
Journal:
|
Mathematica Slovaca |
ISSN:
|
0139-9918 |
Volume:
|
57 |
Issue:
|
4 |
Year:
|
2007 |
Pages:
|
[339]-348 |
. |
Category:
|
math |
. |
MSC:
|
40A05 |
MSC:
|
40C05 |
MSC:
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46A45 |
idZBL:
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Zbl 1150.40001 |
idMR:
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MR2357830 |
. |
Date available:
|
2009-09-25T14:39:19Z |
Last updated:
|
2012-08-01 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/136960 |
. |
Reference:
|
[1] ET M.-COLAK R.: On generalized difference sequence spaces.Soochow J. Math. 21 (1995), 377-386. MR 1362304 |
Reference:
|
[2] ET M.-ESI A.: On Köthe-Toeplitz duals of generalized difference sequence spaces.Bull. Malays. Math. Sci. Soc. (2) 23 (2000), 25-32. Zbl 1013.46500, MR 1815480 |
Reference:
|
[3] ET M.-NURAY F.: $\Delta^m$-Statistical convergence.Indian J. Pure Appl. Math. 32 (2001), 961-969. Zbl 1241.54002, MR 1848005 |
Reference:
|
[4] FAST H.: Sur la convergence statistique.Colloq. Math. 2 (1951), 241-244. Zbl 0044.33605, MR 0048548 |
Reference:
|
[5] FRIDY J. A.: On statistical convergence.Analysis (Munich) 5 (1985), 301-313. Zbl 0588.40001, MR 0816582 |
Reference:
|
[6] FRIDY J. A.-ORHAN, C: Lacunary statistical summability.J. Math. Anal. Appl. 173 (1993), 497-504. Zbl 0786.40004, MR 1209334 |
Reference:
|
[7] GOES G.-GOES S.: Sequences of bounded variation and sequences of Fourier coefficients.Math. Z. 118 (1970), 93-102. Zbl 0193.02903, MR 0438019 |
Reference:
|
[8] KIZMAZ H.: On certain sequence spaces.Canad. Math. Bull. 24 (1981), 169-176. Zbl 0454.46010, MR 0619442 |
Reference:
|
[9] LASCARIDES C. G.: A study of certain sequence spaces of Maddox and generalization of a theorem of Iyer.Pacific J. Math. 38 (1971), 487-500. MR 0306768 |
Reference:
|
[10] MADDOX I. J.: Spaces of strongly summable sequences.Quart. J. Math. Oxford Ser. (2) 18 (1967), 345-355. Zbl 0156.06602, MR 0221143 |
Reference:
|
[11] MADDOX I. J.: Elements of Functional Analysis.Cambridge University Press, Cambridge, 1970. Zbl 0193.08601, MR 0390692 |
Reference:
|
[12] NAKANO H.: Modular sequence spaces.Proc. Japan Acad. Ser. A Math. Sci. 27 (1951), 508-512. MR 0047929 |
Reference:
|
[13] NANDA S.: Strongly almost summable and strongly almost convergent sequences.Acta Math. Hungar. 49 (1987), 71-76. Zbl 0658.40008, MR 0869663 |
Reference:
|
[14] 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:
|
[15] ŠALÁT T.: On statistically convergent sequences of real numbers.Math. Slovaca 30 (1980), 139-150. Zbl 0437.40003, MR 0587239 |
Reference:
|
[16] SCHOENBERG I. J.: The integrability of certain functions and related summability methods.Amer. Math. Monthly 66 (1959), 361-375. Zbl 0089.04002, MR 0104946 |
Reference:
|
[17] SIMONS S.: The spaces $\ell(p_\nu)$ and $m(p_\nu)$.Proc. London Math. Soc. 15 (1965), 422-436. MR 0176325 |
Reference:
|
[18] TRIPATHY B. C.: Matrix trasformation between some classes of sequences.J. Math. Anal. Appl. 206 (1997), 448-450. MR 1433948 |
Reference:
|
[19] TRIPATHY B. C.: On a class of difference sequences related to the p-normed space tp.Demonstratio Math. 36 (2003), 867-872. MR 2018706 |
Reference:
|
[20] TRIPATHY B. C.: Generalized difference paranormed statistically convergent sequences defined by Orlicz functions in a locally convex space.Soochow J. Math. 30 (2004), 431-446. MR 2106062 |
Reference:
|
[21] TRIPATHY B. C.-SEN M.: Vector valued paranormed bounded and null sequence spaces associated with multiplier sequences.Soochow J. Math. 29 (2003), 313-326. Zbl 1043.46013, MR 2003474 |
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