Please use this identifier to cite or link to this item:
https://hdl.handle.net/11499/37763
Title: | A new paranormed series space using euler totient means and some matrix transformations | Authors: | Güleç, Güllü Canan Hazar Ilkhan, M |
Keywords: | Paranormed sequence spaces; Absolute summability; Euler totient means; Matrix transformations |
Publisher: | KANGWON-KYUNGKI MATHEMATICAL SOC | Abstract: | Paranormed spaces are important as a generalization of the normed spaces in terms of having more general properties. The aim of this study is to introduce a new paranormed space vertical bar phi(z)vertical bar (p) over the paranormed space l(p) using Euler totient means, where p = (p(k)) is a bounded sequence of positive real numbers. Besides this, we investigate topological properties and compute the alpha-, beta-, and gamma duals of this paranormed space. Finally, we characterize the classes of infinite matrices (vertical bar phi(z)vertical bar (p) , lambda) and (lambda, vertical bar phi(z)vertical bar (p)), where lambda is any given sequence space. | URI: | https://hdl.handle.net/11499/37763 https://doi.org/10.11568/kjm.2020.28.2.205 |
ISSN: | 1976-8605 |
Appears in Collections: | Fen-Edebiyat Fakültesi Koleksiyonu WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection |
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