Some New Paranormed Sequence Spaces Derived by $$q$$-Second Difference Matrix     
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Prof. Dr. Serkan DEMİRİZ Tokat Gaziosmanpaşa Üniversitesi, Türkiye
Makale Türü Özgün Makale
Makale Alt Türü ESCI dergilerinde yayınlanan tam makale
Dergi Adı Journal of Mathematical Extension
Dergi ISSN 1735-8299 Wos Dergi
Dergi Tarandığı Indeksler Web of Science - Emerging Sources Citation Index
Makale Dili Türkçe
Basım Tarihi 12-2023
Cilt No 17
Sayı 9
Sayfalar 1 / 18
DOI Numarası 10.30495/JME.2023.2766
Makale Linki https://ijmex.com/index.php/ijmex/article/view/2766
Özet
The goal of this research is to construct the extended versions of the originalMaddox's paranormed sequence spaces, denoted by the notation and . These spaces are linear isomorphic to the spaces and , respectively. The next step is to build the Schauder basisfor the space. After that, the topological features of the alpha, beta, and gammaduals of and are investigated. Finally, some matrix classes are characterized.
Anahtar Kelimeler
q-calculus | q-second difference matrix | paranormed sequence spaces | matrix transformations
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Some New Paranormed Sequence Spaces Derived by $$q$$-Second Difference Matrix

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