Invariant and Absolute Invariant Means of Double Sequences
We examine some properties of the invariant mean, define the concepts of strong σ-convergence and absolute σ-convergence for double sequences, and determine the associated sublinear functionals. We also define the absolute invariant mean through which the space of absolutely σ-convergent double sequ...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
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| Series: | Journal of Function Spaces and Applications |
| Online Access: | http://dx.doi.org/10.1155/2012/465364 |
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| _version_ | 1832567082896588800 |
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| author | Abdullah Alotaibi M. Mursaleen M. A. Alghamdi |
| author_facet | Abdullah Alotaibi M. Mursaleen M. A. Alghamdi |
| author_sort | Abdullah Alotaibi |
| collection | DOAJ |
| description | We examine some properties of the invariant mean, define the concepts of strong σ-convergence and absolute σ-convergence for double sequences, and determine the associated sublinear functionals. We also define the absolute invariant mean through which the space of absolutely σ-convergent double sequences is characterized. |
| format | Article |
| id | doaj-art-23c75a70cd25427eaf81a4b8231ee3f4 |
| institution | Kabale University |
| issn | 0972-6802 1758-4965 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces and Applications |
| spelling | doaj-art-23c75a70cd25427eaf81a4b8231ee3f42025-02-03T01:02:25ZengWileyJournal of Function Spaces and Applications0972-68021758-49652012-01-01201210.1155/2012/465364465364Invariant and Absolute Invariant Means of Double SequencesAbdullah Alotaibi0M. Mursaleen1M. A. Alghamdi2Department of Mathematics, King Abdulaziz University, Jeddah 21589, Saudi ArabiaDepartment of Mathematics, Aligarh Muslim University, Aligarh 202002, IndiaDepartment of Mathematics, King Abdulaziz University, Jeddah 21589, Saudi ArabiaWe examine some properties of the invariant mean, define the concepts of strong σ-convergence and absolute σ-convergence for double sequences, and determine the associated sublinear functionals. We also define the absolute invariant mean through which the space of absolutely σ-convergent double sequences is characterized.http://dx.doi.org/10.1155/2012/465364 |
| spellingShingle | Abdullah Alotaibi M. Mursaleen M. A. Alghamdi Invariant and Absolute Invariant Means of Double Sequences Journal of Function Spaces and Applications |
| title | Invariant and Absolute Invariant Means of Double Sequences |
| title_full | Invariant and Absolute Invariant Means of Double Sequences |
| title_fullStr | Invariant and Absolute Invariant Means of Double Sequences |
| title_full_unstemmed | Invariant and Absolute Invariant Means of Double Sequences |
| title_short | Invariant and Absolute Invariant Means of Double Sequences |
| title_sort | invariant and absolute invariant means of double sequences |
| url | http://dx.doi.org/10.1155/2012/465364 |
| work_keys_str_mv | AT abdullahalotaibi invariantandabsoluteinvariantmeansofdoublesequences AT mmursaleen invariantandabsoluteinvariantmeansofdoublesequences AT maalghamdi invariantandabsoluteinvariantmeansofdoublesequences |