Banach Journal of Mathematical Analysis

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

Abstract

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.

Article information

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

Dates
First available in Project Euclid: 22 January 2013

https://projecteuclid.org/euclid.bjma/1358864550

Digital Object Identifier
doi:10.15352/bjma/1358864550

Mathematical Reviews number (MathSciNet)
MR3004268

Zentralblatt MATH identifier
1270.46005

Citation

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. https://projecteuclid.org/euclid.bjma/1358864550

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