I-Pre-Cauchy Double Sequences and Orlicz Functions - Engineering

ENG > Vol.5 No.5, May 2013

I-Pre-Cauchy Double Sequences and Orlicz Functions ()

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DOI: 10.4236/eng.2013.55A008 3,490 Downloads 5,512 Views Citations

Author(s)

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

Affiliation(s)

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.

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

Share and Cite:

V. Khan, N. Khan, A. Esi and S. Tabassum, "I-Pre-Cauchy Double Sequences and Orlicz Functions," Engineering, Vol. 5 No. 5A, 2013, pp. 52-56. doi: 10.4236/eng.2013.55A008.

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