| Title:
|
On absolute summability factors for $|\overline{N}, p_n|_k$ summability (English) |
| Author:
|
Bor, Hüseyin |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
32 |
| Issue:
|
3 |
| Year:
|
1991 |
| Pages:
|
435-439 |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper a theorem on $|\overline{N}, p_n|_k$ summability factors, which generalizes a theorem of Mishra and Srivastava [MS] on $[C,1]_k$ summability factors, has been proved. (English) |
| Keyword:
|
absolute summability |
| Keyword:
|
summability factors |
| Keyword:
|
infinite series |
| MSC:
|
40D15 |
| MSC:
|
40F05 |
| MSC:
|
40G05 |
| MSC:
|
40G99 |
| idZBL:
|
Zbl 0745.40005 |
| idMR:
|
MR1159791 |
| . |
| Date available:
|
2009-01-08T17:45:55Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/118424 |
| . |
| Reference:
|
[B] Bor H.: On $|øverlineN, p_n|_k$ summability factors of infinite series.Tamkang Jour. Math. 16 (1), (1985), 13-20. Zbl 0599.40005, MR 0805725 |
| Reference:
|
[F] Flett T.M.: On an extension of absolute summability and some theorems of Littlewood and Paley.Proc. London Math. Soc. 7 (1957), 113-141. Zbl 0109.04402, MR 0086912 |
| Reference:
|
[H] Hardy G.H.: Divergent Series.Oxford, 1949. Zbl 0897.01044, MR 0030620 |
| Reference:
|
[MS] Mishra K.N., Srivastava R.S.L.: On absolute Cesàro summability factors of infinite series.Portugaliae Math. 42 (1), (1983-1984), 53-61. Zbl 0597.40003, MR 0796281 |
| . |
