On some \(I\)-convergent sequence spaces defined by a compact operator and an Orlicz function

Khan, Vakeel A.; Shafiq, Mohd; Rababah, Rami Kamel Ahmad

doi:10.20454/jast.2015.875

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Definition115: a Function1

Introduction1

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2017

2023

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Cited by 3 publications

(2 citation statements)

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“…The space lM is closely related to the space lp which is an Orlicz sequence space with ( ) = for 1 ≤ < ∞. Later on, some Orlicz sequence spaces were investigated by Hazarika and Esi (2013), Maddox (1970), Parashar and Choudhary (1994), Bhardwaj and Singh (2000), Et (2001), Khan et al (2016) Tripathy and Hazarika (2011), and many others.…”

Section: Definition115: a Functionmentioning

confidence: 99%

On some new i-convergent double sequence spaces defined by a compact operator

Khan¹,

Fatima²,

Eşi

et al. 2017

Int. j. adv. appl. sci

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Section: Definition115: a Functionmentioning

confidence: 99%

On some new i-convergent double sequence spaces defined by a compact operator

Khan¹,

Fatima²,

Eşi

et al. 2017

Int. j. adv. appl. sci

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“…Mursaleen and Mohiuddine [13,14] studied ideal and statistical convergence of sequences in IF-normed space. Several researchers examined these theories in different areas (see, [4,7,9,15,16,19]). Now, Recalling some basic notion, definitions and remarks.…”

Section: Introductionmentioning

confidence: 99%

Generalized neutrosophic ideal convergent sequence spaces

Ahmad¹,

Idrisi²,

Sirohi³

2023

J. Math. Computer Sci.

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Kostyrko et al. initiated the concept of ideal convergence in [P. Kostyrko, T. Šalát, W. Wilczy ński, Real Anal. Exchange, 26 (2000), 669-686]. The purpose of this paper is to introduce and define spaces of the neutrosophic convergent sequence via ideal, namely I S M and I S M 0 . We prove that new spaces are linear and Hausdorff topological spaces. Further, we examine the relation between I-Cauchy and I-convergent sequences and show that every separable space I S M is second countable. Moreover, we prove that the space I S M is complete.

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