Generalization of some absolute summability methods
Mazhar (1971) gave the characterization for the series ∑anϵn to be summable |N,pn| whenever ∑an is summable |C,α|k, α≥0, k≥1. Here we prove two theorems, the first concerns the sufficient conditions and the second the necessary conditions satisfied by {ϵn} in order to have ∑anϵn summable |N¯,pn|k wh...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2001-01-01
|
| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S016117120100309X |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832550637245562880 |
|---|---|
| author | W. T. Sulaiman |
| author_facet | W. T. Sulaiman |
| author_sort | W. T. Sulaiman |
| collection | DOAJ |
| description | Mazhar (1971) gave the characterization for the series ∑anϵn to be summable |N,pn| whenever ∑an is
summable |C,α|k, α≥0, k≥1. Here we prove two
theorems, the first concerns the sufficient conditions and the
second the necessary conditions satisfied by {ϵn} in order to have ∑anϵn summable |N¯,pn|k whenever ∑an is summable |C,α|k, k≥1. |
| format | Article |
| id | doaj-art-8766cc9d87fe4bd581f2b95755f2ad66 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2001-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-8766cc9d87fe4bd581f2b95755f2ad662025-02-03T06:06:11ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252001-01-0125638939510.1155/S016117120100309XGeneralization of some absolute summability methodsW. T. Sulaiman0Department of Mathematics, College of Science, University of Qatar, Doha, QatarMazhar (1971) gave the characterization for the series ∑anϵn to be summable |N,pn| whenever ∑an is summable |C,α|k, α≥0, k≥1. Here we prove two theorems, the first concerns the sufficient conditions and the second the necessary conditions satisfied by {ϵn} in order to have ∑anϵn summable |N¯,pn|k whenever ∑an is summable |C,α|k, k≥1.http://dx.doi.org/10.1155/S016117120100309X |
| spellingShingle | W. T. Sulaiman Generalization of some absolute summability methods International Journal of Mathematics and Mathematical Sciences |
| title | Generalization of some absolute summability methods |
| title_full | Generalization of some absolute summability methods |
| title_fullStr | Generalization of some absolute summability methods |
| title_full_unstemmed | Generalization of some absolute summability methods |
| title_short | Generalization of some absolute summability methods |
| title_sort | generalization of some absolute summability methods |
| url | http://dx.doi.org/10.1155/S016117120100309X |
| work_keys_str_mv | AT wtsulaiman generalizationofsomeabsolutesummabilitymethods |