Year 2020, Volume 8 , Issue 1, Pages 91 - 99 2020-03-20

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
Subjects Engineering
Journal Section Articles
Authors

Orcid: 0000-0002-8825-5555
Author: G. Canan HAZAR GÜLEÇ (Primary Author)
Country: Turkey


Dates

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 <https://dergipark.org.tr/en/pub/mathenot/issue/53229/627066>
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): 99-91.