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## On Some New Paranormed Lucas Sequence Spaces and Lucas Core

#### Serkan Demiriz [1] , Hacer Bilgin Ellidokuzoğlu [2]

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The sequence spaces $c_{0}(\hat{L}), c(\hat{L}), \ell_{\infty}(\hat{L})$ and $\ell_{p}(\hat{L})$ have been recently introduced and studied by Karakaç and Karabudak. The aim of this paper is to extend the results of Karakaç and Karabudak to the paranormed case and is to work the spaces $c_{0}(\hat{L},p), c(\hat{L},p), \ell_{\infty}(\hat{L},p)$ and $\ell(\hat{L},p)$. Furthermore, Lucas core of a complex-valued sequence has been introduced, and we prove some inclusion theorems related to this new type of core.
Lucas numbers, Lucas core, Matrix transformations, Paranormed sequence spaces
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Primary Language en Engineering Articles Orcid: 0000-0002-4662-6020Author: Serkan Demiriz (Primary Author)Institution: Tokat Gaziosmanpaşa ÜniversitesiCountry: Turkey Orcid: 0000-0003-1658-201XAuthor: Hacer Bilgin EllidokuzoğluInstitution: Recep Tayyip Erdo\u{g}an UniversityCountry: Turkey Publication Date: December 14, 2018
 Bibtex @conference paper { cpost479689, journal = {Conference Proceedings of Science and Technology}, issn = {2651-544X}, address = {Murat TOSUN}, year = {2018}, volume = {1 (2018)}, pages = {32 - 35}, doi = {}, title = {On Some New Paranormed Lucas Sequence Spaces and Lucas Core}, key = {cite}, author = {Demiriz, Serkan and Bilgin Ellidokuzoğlu, Hacer} }` APA Demiriz, S , Bilgin Ellidokuzoğlu, H . (2018). On Some New Paranormed Lucas Sequence Spaces and Lucas Core. Conference Proceedings of Science and Technology, 1 (2018) (1), 32-35. Retrieved from http://dergipark.org.tr/cpost/issue/41126/479689 MLA Demiriz, S , Bilgin Ellidokuzoğlu, H . "On Some New Paranormed Lucas Sequence Spaces and Lucas Core". Conference Proceedings of Science and Technology 1 (2018) (2018): 32-35 Chicago Demiriz, S , Bilgin Ellidokuzoğlu, H . "On Some New Paranormed Lucas Sequence Spaces and Lucas Core". Conference Proceedings of Science and Technology 1 (2018) (2018): 32-35 RIS TY - JOUR T1 - On Some New Paranormed Lucas Sequence Spaces and Lucas Core AU - Serkan Demiriz , Hacer Bilgin Ellidokuzoğlu Y1 - 2018 PY - 2018 N1 - DO - T2 - Conference Proceedings of Science and Technology JF - Journal JO - JOR SP - 32 EP - 35 VL - 1 (2018) IS - 1 SN - 2651-544X- M3 - UR - Y2 - 2018 ER - EndNote %0 Conference Proceedings of Science and Technology On Some New Paranormed Lucas Sequence Spaces and Lucas Core %A Serkan Demiriz , Hacer Bilgin Ellidokuzoğlu %T On Some New Paranormed Lucas Sequence Spaces and Lucas Core %D 2018 %J Conference Proceedings of Science and Technology %P 2651-544X- %V 1 (2018) %N 1 %R %U ISNAD Demiriz, Serkan , Bilgin Ellidokuzoğlu, Hacer . "On Some New Paranormed Lucas Sequence Spaces and Lucas Core". Conference Proceedings of Science and Technology 1 (2018) / 1 (December 2018): 32-35. AMA Demiriz S , Bilgin Ellidokuzoğlu H . On Some New Paranormed Lucas Sequence Spaces and Lucas Core. Conference Proceedings of Science and Technology. 2018; 1 (2018)(1): 32-35. Vancouver Demiriz S , Bilgin Ellidokuzoğlu H . On Some New Paranormed Lucas Sequence Spaces and Lucas Core. Conference Proceedings of Science and Technology. 2018; 1 (2018)(1): 35-32.