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https://hdl.handle.net/11499/27761| Title: | Generalization of the space l(p) derived by absolute Euler summability and matrix operators | Authors: | Gökçe, Fadime Sarıgöl, Mehmet Ali |
Keywords: | Absolute summability; Euler means; Matrix transformations; Sequences spaces | Publisher: | Springeropen | Abstract: | The sequence space l(p) having an important role in summability theory was defined and studied by Maddox (Q. J. Math. 18: 345-355, 1967). In the present paper, we generalize the space l(p) to the space |E-phi(r)|(p) derived by the absolute summability of Euler mean. Also, we show that it is a paranormed space and linearly isomorphic to l(p). Further, we determine ?-,ß-,?-duals of this space and construct its Schauder basis. Also, we characterize certain matrix operators on the space. | URI: | https://hdl.handle.net/11499/27761 https://doi.org/10.1186/s13660-018-1724-9 |
ISSN: | 1029-242X |
| Appears in Collections: | Fen-Edebiyat Fakültesi Koleksiyonu PubMed İndeksli Yayınlar Koleksiyonu / PubMed Indexed Publications Collection Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection |
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| File | Description | Size | Format | |
|---|---|---|---|---|
| Generalization of the space l(p) derived by.pdf | 1.53 MB | Adobe PDF | View/Open |
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