The Cesáro Core of Double Sequences
We have characterized a new type of core for double sequences, 𝑃𝐶-core, and determined the necessary and sufficient conditions on a four-dimensional matrix 𝐴 to yield 𝑃𝐶-core{𝐴𝑥}⊆𝛼(𝑃-core{𝑥}) for all ℓ∞2.
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| Format: | Article |
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Hindawi Limited
2011-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2011/950364 |
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doaj-37ffda80006c4bcba6636797a99d3e882020-11-24T21:47:40ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092011-01-01201110.1155/2011/950364950364The Cesáro Core of Double SequencesKuddusi Kayaduman0Celal Çakan1Department of Mathematics, Faculty of Science and Arts, Gaziantep University, 27310 Gaziantep, TurkeyFaculty of Education, Inönü University, 44280 Malatya, TurkeyWe have characterized a new type of core for double sequences, 𝑃𝐶-core, and determined the necessary and sufficient conditions on a four-dimensional matrix 𝐴 to yield 𝑃𝐶-core{𝐴𝑥}⊆𝛼(𝑃-core{𝑥}) for all ℓ∞2.http://dx.doi.org/10.1155/2011/950364 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Kuddusi Kayaduman Celal Çakan |
| spellingShingle |
Kuddusi Kayaduman Celal Çakan The Cesáro Core of Double Sequences Abstract and Applied Analysis |
| author_facet |
Kuddusi Kayaduman Celal Çakan |
| author_sort |
Kuddusi Kayaduman |
| title |
The Cesáro Core of Double Sequences |
| title_short |
The Cesáro Core of Double Sequences |
| title_full |
The Cesáro Core of Double Sequences |
| title_fullStr |
The Cesáro Core of Double Sequences |
| title_full_unstemmed |
The Cesáro Core of Double Sequences |
| title_sort |
cesáro core of double sequences |
| publisher |
Hindawi Limited |
| series |
Abstract and Applied Analysis |
| issn |
1085-3375 1687-0409 |
| publishDate |
2011-01-01 |
| description |
We have characterized a new type of core for double sequences, 𝑃𝐶-core, and determined the necessary and sufficient conditions on a four-dimensional matrix 𝐴 to yield 𝑃𝐶-core{𝐴𝑥}⊆𝛼(𝑃-core{𝑥}) for all ℓ∞2. |
| url |
http://dx.doi.org/10.1155/2011/950364 |
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AT kuddusikayaduman thecesarocoreofdoublesequences AT celalcakan thecesarocoreofdoublesequences AT kuddusikayaduman cesarocoreofdoublesequences AT celalcakan cesarocoreofdoublesequences |
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1725896488612003840 |