I-Pre-Cauchy Double Sequences and Orlicz Functions

Vakeel A. Khan, Nazneen Khan, Ayhan Esi, Sabiha Tabassum

Department of Applied Mathematics, Zakir Hussain College of Engineering and Technology, Aligarh Muslim University, Aligarh, India.
Department of Mathematics, Aligarh Muslim University, Aligarh, India.
Department of Mathematics, Science and Art Faculty, Adiyaman University, Adiyaman, Turkey.

DOI: 10.4236/eng.2013.55A008                

Abstract

Let be a double sequence and let M be a bounded Orlicz function. We prove that x is I-pre-Cauchy if and only if This implies a theorem due to Connor, Fridy and Klin [1], and Vakeel A. Khan and Q. M. Danish Lohani [2]

Keywords

Ideal; Filter; Paranorm; I-Convergent; Invariant Mean; Monotone and Solid Space

Conflicts of Interest

The authors declare no conflicts of interest.

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