A Class of Statistical and σ-Conservative Matrices

Çoşkun, Hüsamettın; Çakan, Celal

doi:10.1007/s10587-005-0065-2

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Introduction4

Some Inequalities1

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2008

2023

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Cited by 20 publications

(5 citation statements)

References 9 publications

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“…The first can be obtained from Lemma 3.1 in [17], the second and third are given in [3] . is a matrix such that conditions (2), (4), (5) and (7)…”

Section: Some Inequalitiesmentioning

confidence: 99%

See 1 more Smart Citation

On statistical lacunary summability of double sequences

Mursaleen

Belen

2014

Filomat

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“…The first can be obtained from Lemma 3.1 in [17], the second and third are given in [3] . is a matrix such that conditions (2), (4), (5) and (7)…”

Section: Some Inequalitiesmentioning

confidence: 99%

“…The first main idea of this paper is to introduce and examine double analogues of these notions, and the second one is to prove an inequality related to the concept of statistical lacunary limit superior and inferior of a real bounded double sequence. Such type of inequalities are also considered in [3], [4], [5] and [14].…”

Section: Introductionmentioning

confidence: 99%

On statistical lacunary summability of double sequences

Mursaleen

Belen

2014

Filomat

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“…Additional results concerning with core theorems can be found in [13,[15][16][17] and cited references therein. As well, investigating the monographs [5] and [40] and the papers [1,9,39,41] will be useful for comprehensive background in this research area.…”

Section: Introductionmentioning

confidence: 99%

Certain topological properties for almost convergent Catalan-Motzkin sequence space

DAĞLI

2023

Hacettepe Journal of Mathematics and Statistics

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The purpose of this paper is to introduce a new almost convergent sequence space by means of a matrix involving Catalan and Motzkin numbers. It is demonstrated that this novel sequence space and the space of all almost convergent sequences are linearly isomorphic and the beta- dual of this new space is deduced. In addition, by defining Catalan-Motzkin core of a complex-valued sequence, certain inclusion relations are derived for it.

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“…The core theorems have been studied by many authors. For instance see [26,27,28,29,30] and the others.…”

Section: Introductionmentioning

confidence: 99%

On the Fibonacci Almost Convergent Sequence Space and Fibonacci Core

Demiriz¹,

Kara²,

Başarır³

2015

Kyungpook mathematical journal

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In the present paper, by using the Fibonacci difference matrix, we introduce the almost convergent sequence space c f. Also, we show that the spaces c f and c are linearly isomorphic. Further, we determine the β−dual of the space c f and characterize some matrix classses on this space. Finally, Fibonacci core of a complex-valued sequence has been introduced, and we prove some inclusion theorems related to this new type of core.

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A Class of Statistical and σ-Conservative Matrices

Cited by 20 publications

References 9 publications

On statistical lacunary summability of double sequences

On statistical lacunary summability of double sequences

Certain topological properties for almost convergent Catalan-Motzkin sequence space

On the Fibonacci Almost Convergent Sequence Space and Fibonacci Core

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