Banach Journal of Mathematical Analysis

The sequence space $E_{n}^{q}\left( M,p,s\right) $ and $ N_{k}-$ lacunary statistical convergence

Naim L. Braha and Mikail Et

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In this paper we define the sequence space $E_{n}^{q}(M,p,s)$ by using an Orlicz function and we study various properties and obtain some inclusion relations involving this space. We give some relations between $N_{k}-$lacunary statistical convergence and strongly $N_{k}-$lacunary convergence.

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Banach J. Math. Anal. Volume 7, Number 1 (2013), 88-96 .

First available in Project Euclid: 22 January 2013

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 40A05: Convergence and divergence of series and sequences
Secondary: 40C05: Matrix methods 46A45: Sequence spaces (including Köthe sequence spaces) [See also 46B45]

Orlicz function sequence space Euler mean statistical convergence


Braha, Naim L.; Et, Mikail. The sequence space $E_{n}^{q}\left( M,p,s\right) $ and $ N_{k}-$ lacunary statistical convergence. Banach J. Math. Anal. 7 (2013), no. 1, 88--96. doi:10.15352/bjma/1358864550.

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