Some New Difference Sequence Spaces Defined by A Sequence of Modulus Functions

Raj, Kuldip; Jamwal, Seema

doi:10.20454/ijas.2013.609

Cited by 2 publications

(1 citation statement)

References 8 publications

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“…After then, Candan and Kayaduman [7] introduced the sequence space c f (r,s) derived by generalized difference Fibonacci matrix. Finally, Candan and Kara [8] investigated the space [26] presented the sequence spaces l F , F , p, u and l ∞ F , F , p, u and researched some topological and geometrical features. Where F is a sequence of modulus functions, p = (p k ) is any bounded sequence of positive real numbers and u = (u k ) is a sequence of strictly positive real numbers.…”

Section: Introductionmentioning

confidence: 99%

Some Generalized Fibonacci Difference Spaces Defined by a Sequence of Modulus Functions

Kılınç

Candan

2017

FU Math Inform

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This paper submits the sequence space $l\left( \widehat{F}\left( r,s\right),\mathcal{F},p,u\right) $ and $l_{\infty }\left( \widehat{F}\left(r,s\right) ,\mathcal{F},p,u\right) $of non-absolute type under the domain ofthe matrix$\widehat{\text{ }F}\left( r,s\right) $ constituted by usingFibonacci sequence and non-zero real number $r$, $s$ and a sequence ofmodulus functions. We study some inclusion relations, topological andgeometric properties of these spaceses. Further, we give the $\alpha $- $%\beta $- and $\gamma $-duals of said sequence spaces and characterization ofthe classes $\left( l\left( \widehat{F}\left( r,s\right) ,\mathcal{F}%,p,u\right) ,X\right) $ and $\left( l_{\infty }\left( \widehat{F}\left(r,s\right) ,\mathcal{F},p,u\right) ,X\right) $.

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Section: Introductionmentioning

confidence: 99%

Some Generalized Fibonacci Difference Spaces Defined by a Sequence of Modulus Functions

Kılınç

Candan

2017

FU Math Inform

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λ-statistical convergence of double sequences of functions via difference operators

Raj,

Narrania,

Mursaleen

2024

Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica

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The paper aims to investigate λ-statistical convergence using modulus function and a generalized difference operator for double sequences of functions for order γ ∈ (0, 1]. Further, we prove that the statistical convergence in the newly formed sequence spaces is not well defined for γ > 1. Finally, we examine relevant inclusion relations concerning λ-statistical convergence and strongly λ-summable in the environment of the newly defined classes of double sequences of functions. Some interesting examples related to the examined results are also discussed in this paper.

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Some New Difference Sequence Spaces Defined by A Sequence of Modulus Functions

Cited by 2 publications

References 8 publications

Some Generalized Fibonacci Difference Spaces Defined by a Sequence of Modulus Functions

Some Generalized Fibonacci Difference Spaces Defined by a Sequence of Modulus Functions

λ-statistical convergence of double sequences of functions via difference operators

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