On some new i-convergent double sequence spaces defined by a compact operator

Khan, Vakeel A.; Fatima, Hira A.; Esi, Ayhan; Abdullah, Sameera A.A.; Alshlool, Kamal M.A.S.

International Journal of Advanced and Applied Sciences

Int. j. adv. appl. sci.

EISSN: 2313-3724

Print ISSN: 2313-626X

Volume 4, Issue 4 (April 2017), Pages: 43-48

Title: On some new i-convergent double sequence spaces defined by a compact operator

Author(s): Vakeel A. Khan ¹, Hira Fatima ¹, Ayhan Esi ^2,*, Sameera A.A. Abdullah ¹, Kamal M.A.S. Alshlool ¹

Affiliation(s):

¹Department of Mathematics, Aligarh Muslim University, Aligarh 202002, India
²Department of Mathematics, Adiyaman University, Adiyaman, Turkey

https://doi.org/10.21833/ijaas.2017.04.007

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Abstract:

In this article we introduce and study some I-convergent double sequence spaces ₂S¹(M), ₂S0¹(M) and ₂Sœ¹(M) with the help of compact operator T on the real space R and an Orlicz function M. We study some of its topological and algebraic properties and prove some inclusion relations on these spaces.

This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).

Keywords: Compact operator, Orlicz function, I- convergence

Article History: Received 29 December 2016, Received in revised form 29 February 2017, Accepted 3 March 2017

Digital Object Identifier:

https://doi.org/10.21833/ijaas.2017.04.007

Citation:

Khan VA, Fatima H, Esi A, Abdullah SAA, Alshlool KMAS (2017). On some new i-convergent double sequence spaces defined by a compact operator. International Journal of Advanced and Applied Sciences, 4(4): 43-48

http://www.science-gate.com/IJAAS/V4I4/Vakeel.html

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