| Title:
|
On $sigma$-statistically convergence and lacunary $sigma$-statistically convergence (English) |
| Author:
|
Savaş, Ekrem |
| Author:
|
Nuray, Fatih |
| Language:
|
English |
| Journal:
|
Mathematica Slovaca |
| ISSN:
|
0139-9918 |
| Volume:
|
43 |
| Issue:
|
3 |
| Year:
|
1993 |
| Pages:
|
309-315 |
| . |
| Category:
|
math |
| . |
| MSC:
|
40A05 |
| MSC:
|
40C05 |
| MSC:
|
40D05 |
| idZBL:
|
Zbl 0794.40001 |
| idMR:
|
MR1241367 |
| . |
| Date available:
|
2009-09-25T10:48:38Z |
| Last updated:
|
2012-08-01 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/132701 |
| . |
| Reference:
|
[1] CONNOR J.: The statistical and strong p-Cesáro convergence of sequences.Analysis 8 (1988), 47-63. Zbl 0653.40001, MR 0954458 |
| Reference:
|
[2] FAST H.: Sur la convergence statistique.Colloq. Math. 2 (1951), 241-244. Zbl 0044.33605, MR 0048548 |
| Reference:
|
[3] FREEDMAN A., SEMBER J., RAPHAEL M.: Some Cesáro-type summability spaces.Proc. London Math. Soc. (3) 37 (1978), 508-520. Zbl 0424.40008, MR 0512023 |
| Reference:
|
[4] FRIDY J.: On statistical convergence.Analysis 5 (1985), 301-310. Zbl 0588.40001, MR 0816582 |
| Reference:
|
[5] LORENTZ G. G.: A contribution to the theory of divergent sequences.Acta Math. 80 (1948), 167-190. Zbl 0031.29501, MR 0027868 |
| Reference:
|
[6] MADDOX I. J.: Statistical convergence in a locally convex space.Math. Proc. Cambridge Philos. Soc. 104 (1988), 141-145. Zbl 0674.40008, MR 0938459 |
| Reference:
|
[7] MURSALEEN: Invariant means and some matrix transformations.Tamkang J. Math. 10 (1979), 183-188. Zbl 0437.40004, MR 0584532 |
| Reference:
|
[8] MURSALEEN: Matrix transformations between some new sequence spaces.Houston J. Math. 9 (1983), 505-509. Zbl 0542.40003, MR 0732242 |
| Reference:
|
[9] ŠALÁT T.: On statistically convergent sequences of real numbers.Math. Slovaca 30 (1980), 139-150. Zbl 0437.40003, MR 0587239 |
| Reference:
|
[10] SAVAŞ E.: On lacunary strong σ-convergence.Indian J. Pure Appl. Math. 21 (1990), 359-365. MR 1050848 |
| Reference:
|
[11] SAVAŞ E.: Some sequence spaces involving invariant means.Indian J. Math. 31 (1989), 1-8. Zbl 0681.46008, MR 0999297 |
| Reference:
|
[12] SCHAEFER P.: Infinite matrices and invariant means.Proc. Amer. Math. Soc. 36 (1972), 104-110. Zbl 0255.40003, MR 0306763 |
| Reference:
|
[13] SCHOENBERG I. J.: The integrability of certain functions and related summability methods.Amer. Math. Monthly 66 (1959), 361-365. Zbl 0089.04002, MR 0104946 |
| . |
