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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Main Authors: Vakeel Ahmad Khan, Sameera Aa Abdullah, Kamal Mas Alshlool
Format: Article
Language:English
Published: Emrah Evren KARA 2019-12-01
Series:Communications in Advanced Mathematical Sciences
Subjects:
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.
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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