Cesàro Summable Sequence Spaces over the Non-Newtonian Complex Field
The spaces ω0p, ωp, and ω∞p can be considered the sets of all sequences that are strongly summable to zero, strongly summable, and bounded, by the Cesàro method of order 1 with index p. Here we define the sets of sequences which are related to strong Cesàro summability over the non-Newtonian complex...
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| Format: | Article |
| Language: | English |
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Wiley
2016-01-01
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| Series: | Journal of Probability and Statistics |
| Online Access: | http://dx.doi.org/10.1155/2016/5862107 |
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| author | Uğur Kadak |
| author_facet | Uğur Kadak |
| author_sort | Uğur Kadak |
| collection | DOAJ |
| description | The spaces ω0p, ωp, and ω∞p can be considered the sets of all sequences that are strongly summable to zero, strongly summable, and bounded, by the Cesàro method of order 1 with index p. Here we define the sets of sequences which are related to strong Cesàro summability over the non-Newtonian complex field by using two generator functions. Also we determine the β-duals of the new spaces and characterize matrix transformations on them into the sets of ⁎-bounded, ⁎-convergent, and ⁎-null sequences of non-Newtonian complex numbers. |
| format | Article |
| id | doaj-art-1964df9b7e0e4c64838be7963fccfb56 |
| institution | Kabale University |
| issn | 1687-952X 1687-9538 |
| language | English |
| publishDate | 2016-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Probability and Statistics |
| spelling | doaj-art-1964df9b7e0e4c64838be7963fccfb562025-02-03T01:12:25ZengWileyJournal of Probability and Statistics1687-952X1687-95382016-01-01201610.1155/2016/58621075862107Cesàro Summable Sequence Spaces over the Non-Newtonian Complex FieldUğur Kadak0Department of Mathematics, Faculty of Sciences and Arts, Bozok University, TurkeyThe spaces ω0p, ωp, and ω∞p can be considered the sets of all sequences that are strongly summable to zero, strongly summable, and bounded, by the Cesàro method of order 1 with index p. Here we define the sets of sequences which are related to strong Cesàro summability over the non-Newtonian complex field by using two generator functions. Also we determine the β-duals of the new spaces and characterize matrix transformations on them into the sets of ⁎-bounded, ⁎-convergent, and ⁎-null sequences of non-Newtonian complex numbers.http://dx.doi.org/10.1155/2016/5862107 |
| spellingShingle | Uğur Kadak Cesàro Summable Sequence Spaces over the Non-Newtonian Complex Field Journal of Probability and Statistics |
| title | Cesàro Summable Sequence Spaces over the Non-Newtonian Complex Field |
| title_full | Cesàro Summable Sequence Spaces over the Non-Newtonian Complex Field |
| title_fullStr | Cesàro Summable Sequence Spaces over the Non-Newtonian Complex Field |
| title_full_unstemmed | Cesàro Summable Sequence Spaces over the Non-Newtonian Complex Field |
| title_short | Cesàro Summable Sequence Spaces over the Non-Newtonian Complex Field |
| title_sort | cesaro summable sequence spaces over the non newtonian complex field |
| url | http://dx.doi.org/10.1155/2016/5862107 |
| work_keys_str_mv | AT ugurkadak cesarosummablesequencespacesoverthenonnewtoniancomplexfield |