A NEW PARANORMED SERIES SPACE USING EULER TOTIENT MEANS AND SOME MATRIX TRANSFORMATIONS
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Dosyalar
Tarih
2020
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Kangwon-Kyungki Mathematical Soc
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
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.
Açıklama
Anahtar Kelimeler
Paranormed sequence spaces, Absolute summability, Euler totient means, Matrix transformations, Sequence-Spaces, Include, L(P)
Kaynak
Korean Journal Of Mathematics
WoS Q DeÄŸeri
N/A
Scopus Q DeÄŸeri
Cilt
28
Sayı
2
