New structure of fibonacci numbers using concept of operator

Dowlath Fathima; Mashael M. Albaidani; Abdul Hamid Ganie; Afroza Akhter

doi:10.22436/jmcs.026.02.01

New structure of fibonacci numbers using concept of operator

Dowlath Fathima, Mashael M. Albaidani, Abdul Hamid Ganie, Afroza Akhter

Mathematics

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

The theory of sequence spaces is the fundamental of summability and applications to various sequences like Fibonacci sequences were deeply studied. In [A. H. Ganie, In: Matrix Theory-Applications and Theorems, 2018 (2018), 75–86], the author has analyzed the Fibonacci sequences and studied its various properties. By utilizing this concept, the notion of this paper is to introduce new scenario of spaces using Fibonacci numbers. By using Kizmaz operator, we shall introduce the difference sequence spaces c^J0^{( ˜}_g), c^J(^˜_g) and ℓ^J∞(^˜_g) by involving Fibonacci sequence and the idea of ideal convergence. We will prove certain basic inclusion relations and study these for some topological properties.

Original language	English
Pages (from-to)	101-112
Number of pages	12
Journal	Journal of Mathematics and Computer Science
Volume	26
Issue number	2
DOIs	https://doi.org/10.22436/jmcs.026.02.01
State	Published - 2022

Keywords

BK-spaces
Fibonacci numbers
Ideal convergence

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title = "New structure of fibonacci numbers using concept of operator",

abstract = "The theory of sequence spaces is the fundamental of summability and applications to various sequences like Fibonacci sequences were deeply studied. In [A. H. Ganie, In: Matrix Theory-Applications and Theorems, 2018 (2018), 75–86], the author has analyzed the Fibonacci sequences and studied its various properties. By utilizing this concept, the notion of this paper is to introduce new scenario of spaces using Fibonacci numbers. By using Kizmaz operator, we shall introduce the difference sequence spaces cJ0( ˜g), cJ(˜g) and ℓJ∞(˜g) by involving Fibonacci sequence and the idea of ideal convergence. We will prove certain basic inclusion relations and study these for some topological properties.",

keywords = "BK-spaces, Fibonacci numbers, Ideal convergence",

author = "Dowlath Fathima and Albaidani, \{Mashael M.\} and Ganie, \{Abdul Hamid\} and Afroza Akhter",

year = "2022",

doi = "10.22436/jmcs.026.02.01",

language = "English",

volume = "26",

pages = "101--112",

journal = "Journal of Mathematics and Computer Science",

issn = "2008-949X",

publisher = "International Scientific Research Publications",

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TY - JOUR

T1 - New structure of fibonacci numbers using concept of operator

AU - Fathima, Dowlath

AU - Albaidani, Mashael M.

AU - Ganie, Abdul Hamid

AU - Akhter, Afroza

PY - 2022

Y1 - 2022

N2 - The theory of sequence spaces is the fundamental of summability and applications to various sequences like Fibonacci sequences were deeply studied. In [A. H. Ganie, In: Matrix Theory-Applications and Theorems, 2018 (2018), 75–86], the author has analyzed the Fibonacci sequences and studied its various properties. By utilizing this concept, the notion of this paper is to introduce new scenario of spaces using Fibonacci numbers. By using Kizmaz operator, we shall introduce the difference sequence spaces cJ0( ˜g), cJ(˜g) and ℓJ∞(˜g) by involving Fibonacci sequence and the idea of ideal convergence. We will prove certain basic inclusion relations and study these for some topological properties.

AB - The theory of sequence spaces is the fundamental of summability and applications to various sequences like Fibonacci sequences were deeply studied. In [A. H. Ganie, In: Matrix Theory-Applications and Theorems, 2018 (2018), 75–86], the author has analyzed the Fibonacci sequences and studied its various properties. By utilizing this concept, the notion of this paper is to introduce new scenario of spaces using Fibonacci numbers. By using Kizmaz operator, we shall introduce the difference sequence spaces cJ0( ˜g), cJ(˜g) and ℓJ∞(˜g) by involving Fibonacci sequence and the idea of ideal convergence. We will prove certain basic inclusion relations and study these for some topological properties.

KW - BK-spaces

KW - Fibonacci numbers

KW - Ideal convergence

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SP - 101

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JO - Journal of Mathematics and Computer Science

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ER -

New structure of fibonacci numbers using concept of operator

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Keywords

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