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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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
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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| _version_ | 1849693211694465024 |
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| author | Kuddusi Kayaduman Celal Çakan |
| author_facet | Kuddusi Kayaduman Celal Çakan |
| author_sort | Kuddusi Kayaduman |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-37ffda80006c4bcba6636797a99d3e88 |
| institution | DOAJ |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-37ffda80006c4bcba6636797a99d3e882025-08-20T03:20:29ZengWileyAbstract 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 |
| spellingShingle | Kuddusi Kayaduman Celal Çakan The Cesáro Core of Double Sequences Abstract and Applied Analysis |
| title | 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_short | The Cesáro Core of Double Sequences |
| title_sort | cesaro core of double sequences |
| url | http://dx.doi.org/10.1155/2011/950364 |
| work_keys_str_mv | AT kuddusikayaduman thecesarocoreofdoublesequences AT celalcakan thecesarocoreofdoublesequences AT kuddusikayaduman cesarocoreofdoublesequences AT celalcakan cesarocoreofdoublesequences |