On some double sequence spaces of interval number.

Authors

Keywords:

Complete space, Interval number, Modulus function, Double sequence space

Abstract

Esi and Yasemin defined the metric spaces a32_535_546001.png , a32_535_546002.png,  a32_535_546003.png, and  lp(f, p, s) of sequences of interval numbers by a modulus function. In this study, we consider a generalization for double sequences of these metric spaces by taking a ? function, satisfying the following conditions, instead of s parameter. For this aim, let ?(k, l) be a positive function for all k, l ? N such that

(i) a32_535_546004.png

(ii) a32_535_546008.png

or

?(k, l) = 1.

Therefore, according to class of functions which satisfying the conditions (i) and (ii) we deal with the metric spaces a32_535_5460081.png  and a32_535_546009.png of double sequences of interval numbers defined by a modulus function.

Author Biographies

Sibel Yasemin Gölbol, Mersin University.

Department of Mathematics.

Ayhan Esi, Adiyaman University.

Department of Mathematics.

Uğur Değer, Mersin University.

Department of Mathematics.

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Published

2018-09-25

How to Cite

[1]
S. Y. Gölbol, A. Esi, and U. Değer, “On some double sequence spaces of interval number.”, Proyecciones (Antofagasta, On line), vol. 37, no. 3, pp. 535-546, Sep. 2018.

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Artículos