Difference Sequence Spaces Defined by a Sequence of Moduli

Gaur, A. K.; Mursaleen,

doi:10.1515/dema-1998-0203

Cited by 13 publications

(8 citation statements)

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“…Maddox [22] and Ruckle [29] used a modulus function to construct some sequence spaces. Later on using a modulus different sequence spaces have been studied by Altin [1], Et ([7], [8]) ,Gaur and Mursaleen [16], Isık [20], Nuray and Savas [27] and many others.…”

Section: Results Related To Modulus Functionmentioning

confidence: 99%

Some Cesaro-type summability spaces of order α and lacunary statistical convergence of order α

Şengül

2014

Filomat

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Section: Results Related To Modulus Functionmentioning

confidence: 99%

Some Cesaro-type summability spaces of order α and lacunary statistical convergence of order α

Şengül

2014

Filomat

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“…Maddox [26] used a modulus function to construct some sequence spaces. Afterwards di¤erent sequence spaces de…ned by modulus have been studied by Alt¬n and Et [3], Et et al [14], Iş¬k [24], Gaur and Mursaleen [21], Nuray and Savaş [28], Pehlivan and Fisher [30],Şengül [34] and everybody else.…”

Section: Hacerşengül and Zelal Aricamentioning

confidence: 99%

On strong N_{θ}^{α}(A,F)-convergence

Şengül¹,

Arıca²

2019

Communications Faculty of Science University of Ankara Series A1Mathematics and Statistics

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In the papers [T. Bilgin, Studia Univ. Babeş-Bolyai Math. 46(4), (2001), 39-46] and [T. Bilgin, Appl. Math. Comput. 151(3), ( 2004), 595-600], author de…ned the spaces of strongly N (A; f ) convergent with respect to a modulus sequences and strongly N (A; F ) convergent with respect to a sequence of modulus functions sequences. In this paper, we introduce strong N (A; F ) convergence with respect to a sequence of modulus functions and give some connections between sets of strongly N (A; F ) convergent with respect to a sequence of modulus functions sequences and S (A) convergent sequences.

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“…Maddox [26] used a modulus function to construct some sequence spaces. Afterwards different sequence spaces defined by modulus have been studied by Altın and Et [2], Et et al [15], Işık [24], Gaur and Mursaleen [22], Nuray and Savaş [28], Pehlivan and Fisher [30], Şengül [34] and everybody else.…”

Section: Introductionmentioning

confidence: 99%