Paranorm Ideal Convergent Fibonacci Difference Sequence Spaces
In this paper we introduce some new sequence spaces $ c_{0}^{I}(\hat{F},p)$, $c^{I}(\hat{F},p)$ and $\ell_{\infty}^{I}(\hat{F},p)$ for $p=(p_n),$ a sequence of positive real numbers. In addition, we study some topological and algebraic properties on these spaces. Lastly, we examine some inclus...
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Format: | Article |
Language: | English |
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Emrah Evren KARA
2019-12-01
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Series: | Communications in Advanced Mathematical Sciences |
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Online Access: | https://dergipark.org.tr/tr/download/article-file/906406 |
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author | Vakeel Ahmad Khan Sameera Aa Abdullah Kamal Mas Alshlool |
author_facet | Vakeel Ahmad Khan Sameera Aa Abdullah Kamal Mas Alshlool |
author_sort | Vakeel Ahmad Khan |
collection | DOAJ |
description | In this paper we introduce some new sequence spaces $ c_{0}^{I}(\hat{F},p)$, $c^{I}(\hat{F},p)$ and $\ell_{\infty}^{I}(\hat{F},p)$ for $p=(p_n),$ a sequence of positive real numbers. In addition, we study some topological and algebraic properties on these spaces. Lastly, we examine some inclusion relations on these spaces. |
first_indexed | 2024-03-07T21:26:40Z |
format | Article |
id | doaj.art-35b4d0d2bff6438fb0e31033e1ead83c |
institution | Directory Open Access Journal |
issn | 2651-4001 |
language | English |
last_indexed | 2024-03-07T21:26:40Z |
publishDate | 2019-12-01 |
publisher | Emrah Evren KARA |
record_format | Article |
series | Communications in Advanced Mathematical Sciences |
spelling | doaj.art-35b4d0d2bff6438fb0e31033e1ead83c2024-02-27T04:36:36ZengEmrah Evren KARACommunications in Advanced Mathematical Sciences2651-40012019-12-01242933021225Paranorm Ideal Convergent Fibonacci Difference Sequence SpacesVakeel Ahmad Khan0Sameera Aa Abdullah1Kamal Mas Alshlool2aligarh muslim university aligarjh indiaaligarh muslim university aligarh indiaaligarh muslim university aligarhIn this paper we introduce some new sequence spaces $ c_{0}^{I}(\hat{F},p)$, $c^{I}(\hat{F},p)$ and $\ell_{\infty}^{I}(\hat{F},p)$ for $p=(p_n),$ a sequence of positive real numbers. In addition, we study some topological and algebraic properties on these spaces. Lastly, we examine some inclusion relations on these spaces.https://dergipark.org.tr/tr/download/article-file/906406fibonacci difference matrixi-cauchyi-convergenceparanormed space |
spellingShingle | Vakeel Ahmad Khan Sameera Aa Abdullah Kamal Mas Alshlool Paranorm Ideal Convergent Fibonacci Difference Sequence Spaces Communications in Advanced Mathematical Sciences fibonacci difference matrix i-cauchy i-convergence paranormed space |
title | Paranorm Ideal Convergent Fibonacci Difference Sequence Spaces |
title_full | Paranorm Ideal Convergent Fibonacci Difference Sequence Spaces |
title_fullStr | Paranorm Ideal Convergent Fibonacci Difference Sequence Spaces |
title_full_unstemmed | Paranorm Ideal Convergent Fibonacci Difference Sequence Spaces |
title_short | Paranorm Ideal Convergent Fibonacci Difference Sequence Spaces |
title_sort | paranorm ideal convergent fibonacci difference sequence spaces |
topic | fibonacci difference matrix i-cauchy i-convergence paranormed space |
url | https://dergipark.org.tr/tr/download/article-file/906406 |
work_keys_str_mv | AT vakeelahmadkhan paranormidealconvergentfibonaccidifferencesequencespaces AT sameeraaaabdullah paranormidealconvergentfibonaccidifferencesequencespaces AT kamalmasalshlool paranormidealconvergentfibonaccidifferencesequencespaces |