On Some Triple Almost Lacunary Sequence Spaces Defined by Orlicz Functions

Authors

  • Ayhan Esi Department of Mathematics, University of Adiyaman, Turkey

DOI:

https://doi.org/10.37591/rrdms.v1i2.127

Keywords:

Preliminaries, real numbers, Pringsheim, nondecreasing

Abstract

In this paper we introduce the concept of almost lacunary strong convergent triple sequences with respect to an Orlicz function and examine some properties of these sequence spaces. We also introduce and study almost lacunary statistical convergence for triple sequences and also present some inclusion relations.

References

G.G. Lorentz. A contribution to the theory of divergent sequences. Acta Mathematics. 1948; 80(1948): 167–190p.

Moricz F. and Rhoades B.E. Almost convergence of double sequences and strong regularity of summability matrices. Math.Proc.Camb.Phil.Soc.1988104(1988), 283-293.

A.Esi and M.N.Çatalba¸s. Almost Convergence of Triple Sequences. Global Journal of Mathe- matical Analysis. 2014; 2(1): 6–10p.

E.Savas and R.F.Patterson. Lacunary statistical convergence of multiple sequences. Applied Mathematics Letters.2006; 19(2006): 527–534p.

E.Sava¸s and R.F.Patterson. On some double almost lacunary sequence spaces denoted by Orlicz functions. Filomat. 2005; 19(2005): 35–44p.

Pringsheim A. Zur Theori der zweifach unendlichen Zahlenfolgen. Math.Ann. 53(1900): 289–321p.

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Published

2014-09-08

Issue

Vol. 1 No. 2 (2014)

Section

Research Articles

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