An ordered set of Nörlund means
Nörlund methods of summability are studied as mappings from ℓ1 into ℓ1. Those Nörlund methods that map ℓ1 into ℓ1 are characterized. Inclusion results are given and a class of Nörlund methods is shown to form an ordered abelian semigroup.
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| Format: | Article |
| Language: | English |
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Hindawi Limited
1981-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
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| Online Access: | http://dx.doi.org/10.1155/S0161171281000215 |
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doaj-6c2c739272a3483b9d19354f1e6891d4 |
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Article |
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doaj-6c2c739272a3483b9d19354f1e6891d42020-11-25T00:13:19ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251981-01-014235336410.1155/S0161171281000215An ordered set of Nörlund meansJ. Defranza0Department of Mathematics, St. Lawrence University, Canton 13617, New York, USANörlund methods of summability are studied as mappings from ℓ1 into ℓ1. Those Nörlund methods that map ℓ1 into ℓ1 are characterized. Inclusion results are given and a class of Nörlund methods is shown to form an ordered abelian semigroup.http://dx.doi.org/10.1155/S0161171281000215inclusion Theoremℓ−ℓ methodordered abelian semigroupNörlund method. |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
J. Defranza |
| spellingShingle |
J. Defranza An ordered set of Nörlund means International Journal of Mathematics and Mathematical Sciences inclusion Theorem ℓ−ℓ method ordered abelian semigroup Nörlund method. |
| author_facet |
J. Defranza |
| author_sort |
J. Defranza |
| title |
An ordered set of Nörlund means |
| title_short |
An ordered set of Nörlund means |
| title_full |
An ordered set of Nörlund means |
| title_fullStr |
An ordered set of Nörlund means |
| title_full_unstemmed |
An ordered set of Nörlund means |
| title_sort |
ordered set of nörlund means |
| publisher |
Hindawi Limited |
| series |
International Journal of Mathematics and Mathematical Sciences |
| issn |
0161-1712 1687-0425 |
| publishDate |
1981-01-01 |
| description |
Nörlund methods of summability are studied as mappings from ℓ1 into ℓ1. Those Nörlund methods that map ℓ1 into ℓ1 are characterized. Inclusion results are given and a class of Nörlund methods is shown to form an ordered abelian semigroup. |
| topic |
inclusion Theorem ℓ−ℓ method ordered abelian semigroup Nörlund method. |
| url |
http://dx.doi.org/10.1155/S0161171281000215 |
| work_keys_str_mv |
AT jdefranza anorderedsetofnorlundmeans AT jdefranza orderedsetofnorlundmeans |
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1725394991816114176 |