| Title:
|
On $\varphi $-convergence and $\varphi $-density (English) |
| Author:
|
Kováč, Eugen |
| Language:
|
English |
| Journal:
|
Mathematica Slovaca |
| ISSN:
|
0139-9918 |
| Volume:
|
55 |
| Issue:
|
3 |
| Year:
|
2005 |
| Pages:
|
329-351 |
| . |
| Category:
|
math |
| . |
| MSC:
|
40A05 |
| MSC:
|
40D05 |
| MSC:
|
40G99 |
| idZBL:
|
Zbl 1113.40002 |
| idMR:
|
MR2181010 |
| . |
| Date available:
|
2009-09-25T14:26:39Z |
| Last updated:
|
2012-08-01 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/130870 |
| . |
| Reference:
|
[1] BROWN T. C.-FREEDMAN A. R.: The uniform density of sets of integers and Fermaťs last theorem.C. R. Math. Rеp. Acad. Sci. Canada 11 (1990), 1-6. MR 1043085 |
| Reference:
|
[2] CONNOR J. S.: The statistical convergence and strong p-Cesàro convergence of sequences.Analysis (Munich) 8 (1988), 47-63. MR 0954458 |
| Reference:
|
[3] ERDÖS P.: Solutions of advanced problems: $\Phi$-convergence.Amеr. Math. Monthly 85 (1978), 122-123. MR 1538623 |
| Reference:
|
[4] FASТ H.: Sur la convergence statistique.Colloq. Math. 2 (1951), 241-244. MR 0048548 |
| Reference:
|
[5] HARDY G. H.: Divergent Series.Clarеdon Prеss, Oxford, 1949. Zbl 0032.05801, MR 0030620 |
| Reference:
|
[6] KOSTYRKO P.-ŠALÁT T.-WILCIŃSKY W.: $I$-convergence.Real Anal. Exchange 26 (2000-01), 669-686. Zbl 1199.40026, MR 1844385 |
| Reference:
|
[7] KOVÁČ E.: Various Types of Convergence, $\varphi$-Convergence.Master Thesis, FMPI, Comenius University, Bratislava, 2001. (Slovak). |
| Reference:
|
[8] KOVÁČ E.: On $\varphi$-Convergence and $\varphi$-Densities of Sets of Integers.Rigorous Thesis, FMPI, Comenius University, Bratislava, 2002. |
| Reference:
|
[9] NIVEN I.-ZUCKERMAN H. S.: An Introduction to the Theory of Numbers.(4th ed.), John Wiley, New York-London-Sydney, 1967. |
| Reference:
|
[10] PETERSEN G. M.: Regular Matrix Transformations.McGraw-Hill Publ. Comp., New York-Toronto-Sydney, 1966. Zbl 0159.35401, MR 0225045 |
| Reference:
|
[11] ŠALÁT: On statisticaly convergent sequences of real numbers.Math. Slovaca 30 (1980), 139-150. MR 0587239 |
| Reference:
|
[12] 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:
|
[13] SТEINHAUS H.: Quelques remarques sur la généralisation de la notion de limite.Prace Matematyczno-Fizyczne 22 (1911), 121-134. (Polish) |
| . |
