Almost convergence and double sequential band matrix

Candan, Murat

doi:10.1016/s0252-9602(14)60010-2

Cited by 43 publications

(26 citation statements)

References 24 publications

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“…Candan [3] established the sequence spaces f ( B) and f 0 ( B) consisting of all sequences x = (x k ) ∈ ω such that (r k x k + s k−1 x k−1 ) ∈ f 0 or ∈ f as the domain of the double sequential band matrix B( r, s) in the sequence spaces f 0 and f . In this study, Candan determined the beta and gamma duals of the spaces f 0 ( B) and f ( B), and also gave some inclusion theorems related with the spaces f 0 ( B) and f ( B).…”

Section: Resultsmentioning

confidence: 99%

On the spaces of Nörlund almost null and Nörlund almost convergent sequences

Tuǧ

Başar

2016

Filomat

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In this article, the sequence spaces f 0 (N t ) and f (N t ) are introduced as the domain of Nörlund mean in the spaces f 0 and f of almost null and almost convergent sequences which are isomorphic to the spaces f 0 and f , respectively, and some inclusion relations are given. Additionally, alpha, beta and gamma duals of the sequence spaces f 0 (N t ) and f (N t ) are determined. Finally, the classes (λ(N t ) : µ) and (µ : λ(N t )) of matrix transformations are characterized for given sequence spaces λ and µ together with two Steinhaus type results.

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Section: Resultsmentioning

confidence: 99%

On the spaces of Nörlund almost null and Nörlund almost convergent sequences

Tuǧ

Başar

2016

Filomat

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“…[7]; and Başar and Kirişçi [2]; Kayaduman andŞengönül [5]; Sönmez [10,11] and Candan [3] are recent works on the domain of certain triangle matrices in the spaces f 0 , f and in the classical sequence spaces, the present paper is their natural continuation.…”

Section: Some Matrix Mappings Related To the Space F (G)mentioning

confidence: 90%

Almost convergence and generalized weighted mean

Kirişçi¹

2012

AIP Conference Proceedings

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In this paper, we investigate some new sequence spaces which naturally emerge from the concepts of almost convergence and generalized weighted mean. The object of this paper is to introduce to the new sequence spaces obtained as the matrix domain of generalized weighted mean in the spaces of almost null and almost convergent sequences. Furthermore, the beta and gamma dual spaces of the new spaces are determined and some classes of matrix transformations are characterized.

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“…We denote the set of all null sequences in K by c  . ©2014 Candan; licensee Springer. This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/2.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.…”

Section: Fundamental Factsmentioning

confidence: 99%