A New Paranormed Series Space and Matrix Transformations

Yıl 2020, Cilt: 8 Sayı: 1, 91 - 99, 20.03.2020

G. Canan Hazar Güleç

https://doi.org/10.36753/mathenot.627066

Öz

Recently, Hazar and Sarıgöl have defined and studied the series space |C₋₁|_{p} for 1≤p<∞ in [1]. The aim of this study is to introduce a new paranormed space |C₋₁|(p), where p=(p_{k}) is a bounded sequence of positive real numbers, which extends the results of Hazar and Sarıgöl in [1] to paranormed space. Besides this, we investigate topological properties and compute the α-,β-, and γ duals of this paranormed space. Finally, we characterize the classes of infinite matrices (|C₋₁|(p),μ) and (μ,|C₋₁|(p)), where μ is any given sequence spaces

Anahtar Kelimeler

Paranormed sequence spaces, Absolute summability, Cesàro means; Matrix transformations

Kaynakça

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