A New Paranormed Series Space and Matrix Transformations

Hazar Güleç, Canan

doi:10.36753/MATHENOT.627066

A New Paranormed Series Space and Matrix Transformations

G. Canan HAZAR GÜLEÇ (Pamukkale Üniversitesi, Matematik Bölümü, Denizli, Türkiye)

Mathematical Sciences and Applications E-Notes

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Yıl: 2020 Cilt: 8 Sayı: 1 Sayfa Aralığı: 91 - 99 Metin Dili: İngilizce DOI: 10.36753/MATHENOT.627066 İndeks Tarihi: 24-03-2021

A New Paranormed Series Space and Matrix Transformations

Öz:

The series space |C−1|phas been studied for 1 ≤ p < ∞ by Hazar and Sarıgöl in [9]. The main purposeof this work is to define a new paranormed space |C−1|(p), where p = (pk) is a bounded sequence ofpositive real numbers, which generalizes the results of Hazar and Sarıgöl in [9] to paranormed space.Also, we investigate some topological properties such as the completeness and the isomorphism, and wedetermine the α−, β−, and γ duals of this paranormed space. Additionally, we give characterization ofthe classes of infinite matrices (|C−1|(p), µ) and (µ, |C−1|(p)), where µ is any given sequence space.

Anahtar Kelime:

Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık

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APA	Hazar Güleç C (2020). A New Paranormed Series Space and Matrix Transformations. , 91 - 99. 10.36753/MATHENOT.627066
Chicago	Hazar Güleç Canan A New Paranormed Series Space and Matrix Transformations. (2020): 91 - 99. 10.36753/MATHENOT.627066
MLA	Hazar Güleç Canan A New Paranormed Series Space and Matrix Transformations. , 2020, ss.91 - 99. 10.36753/MATHENOT.627066
AMA	Hazar Güleç C A New Paranormed Series Space and Matrix Transformations. . 2020; 91 - 99. 10.36753/MATHENOT.627066
Vancouver	Hazar Güleç C A New Paranormed Series Space and Matrix Transformations. . 2020; 91 - 99. 10.36753/MATHENOT.627066
IEEE	Hazar Güleç C "A New Paranormed Series Space and Matrix Transformations." , ss.91 - 99, 2020. 10.36753/MATHENOT.627066
ISNAD	Hazar Güleç, Canan. "A New Paranormed Series Space and Matrix Transformations". (2020), 91-99. https://doi.org/10.36753/MATHENOT.627066

APA	Hazar Güleç C (2020). A New Paranormed Series Space and Matrix Transformations. Mathematical Sciences and Applications E-Notes, 8(1), 91 - 99. 10.36753/MATHENOT.627066
Chicago	Hazar Güleç Canan A New Paranormed Series Space and Matrix Transformations. Mathematical Sciences and Applications E-Notes 8, no.1 (2020): 91 - 99. 10.36753/MATHENOT.627066
MLA	Hazar Güleç Canan A New Paranormed Series Space and Matrix Transformations. Mathematical Sciences and Applications E-Notes, vol.8, no.1, 2020, ss.91 - 99. 10.36753/MATHENOT.627066
AMA	Hazar Güleç C A New Paranormed Series Space and Matrix Transformations. Mathematical Sciences and Applications E-Notes. 2020; 8(1): 91 - 99. 10.36753/MATHENOT.627066
Vancouver	Hazar Güleç C A New Paranormed Series Space and Matrix Transformations. Mathematical Sciences and Applications E-Notes. 2020; 8(1): 91 - 99. 10.36753/MATHENOT.627066
IEEE	Hazar Güleç C "A New Paranormed Series Space and Matrix Transformations." Mathematical Sciences and Applications E-Notes, 8, ss.91 - 99, 2020. 10.36753/MATHENOT.627066
ISNAD	Hazar Güleç, Canan. "A New Paranormed Series Space and Matrix Transformations". Mathematical Sciences and Applications E-Notes 8/1 (2020), 91-99. https://doi.org/10.36753/MATHENOT.627066