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## A New Paranormed Series Space and Matrix Transformations

#### G. Canan HAZAR GÜLEÇ [1]

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
Paranormed sequence spaces, Absolute summability, Cesàro means; Matrix transformations
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Primary Language en Engineering Articles Orcid: 0000-0002-8825-5555Author: G. Canan HAZAR GÜLEÇ (Primary Author)Country: Turkey Publication Date : March 20, 2020
 Bibtex @research article { mathenot627066, journal = {Mathematical Sciences and Applications E-Notes}, issn = {}, eissn = {2147-6268}, address = {}, publisher = {Murat TOSUN}, year = {2020}, volume = {8}, pages = {91 - 99}, doi = {10.36753/mathenot.627066}, title = {A New Paranormed Series Space and Matrix Transformations}, key = {cite}, author = {Hazar Güleç, G. Canan} } APA Hazar Güleç, G . (2020). A New Paranormed Series Space and Matrix Transformations . Mathematical Sciences and Applications E-Notes , 8 (1) , 91-99 . DOI: 10.36753/mathenot.627066 MLA Hazar Güleç, G . "A New Paranormed Series Space and Matrix Transformations" . Mathematical Sciences and Applications E-Notes 8 (2020 ): 91-99 Chicago Hazar Güleç, G . "A New Paranormed Series Space and Matrix Transformations". Mathematical Sciences and Applications E-Notes 8 (2020 ): 91-99 RIS TY - JOUR T1 - A New Paranormed Series Space and Matrix Transformations AU - G. Canan Hazar Güleç Y1 - 2020 PY - 2020 N1 - doi: 10.36753/mathenot.627066 DO - 10.36753/mathenot.627066 T2 - Mathematical Sciences and Applications E-Notes JF - Journal JO - JOR SP - 91 EP - 99 VL - 8 IS - 1 SN - -2147-6268 M3 - doi: 10.36753/mathenot.627066 UR - https://doi.org/10.36753/mathenot.627066 Y2 - 2020 ER - EndNote %0 Mathematical Sciences and Applications E-Notes A New Paranormed Series Space and Matrix Transformations %A G. Canan Hazar Güleç %T A New Paranormed Series Space and Matrix Transformations %D 2020 %J Mathematical Sciences and Applications E-Notes %P -2147-6268 %V 8 %N 1 %R doi: 10.36753/mathenot.627066 %U 10.36753/mathenot.627066 ISNAD Hazar Güleç, G. Canan . "A New Paranormed Series Space and Matrix Transformations". Mathematical Sciences and Applications E-Notes 8 / 1 (March 2020): 91-99 . https://doi.org/10.36753/mathenot.627066 AMA Hazar Güleç G . A New Paranormed Series Space and Matrix Transformations. Math. Sci. Appl. E-Notes. 2020; 8(1): 91-99. Vancouver Hazar Güleç G . A New Paranormed Series Space and Matrix Transformations. Mathematical Sciences and Applications E-Notes. 2020; 8(1): 91-99. IEEE G. Hazar Güleç , "A New Paranormed Series Space and Matrix Transformations", Mathematical Sciences and Applications E-Notes, vol. 8, no. 1, pp. 91-99, Mar. 2020, doi:10.36753/mathenot.627066

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