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http://dx.doi.org/10.14317/jami.2020.201

ON EXTREMAL ROUGH I-CONVERGENCE LIMIT POINT OF TRIPLE SEQUENCE SPACES DEFINED BY A METRIC FUNCTION

SUBRAMANIAN, N. (Department of Mathematics, SASTRA Deemed to be University)
ESI, A. (Engineering Faculty Department of Basic Engineering Sciences, Malatya Turgut Ozal University)
DEBNATH, S. (Tripura University, Department of Mathematics)

Publication Information

Journal of applied mathematics & informatics / v.38, no.3_4, 2020 , pp. 201-209 More about this Journal

Abstract

We introduce and study some basic properties of rough I-convergent of triple sequence spaces and also study the set of all rough I-limits of a triple sequence spaces.

Keywords

Triple sequences; rough convergence; cluster points and rough limit points;

Citations & Related Records

Reference

1	S. Aytar, Rough statistical convergence, Numer. Funct. Anal. Optim. 29 (2008), 291-303. DOI
2	S. Aytar, The rough limit set and the core of a real sequence, Numer. Funct. Anal. Optim. 29 (2008), 283-290. DOI
3	A. Esi, On some triple almost lacunary sequence spaces defined by Orlicz functions, Research and Reviews:Discrete Mathematical Structures 1 (2014), 16-25.
4	A. Esi and M. Necdet Catalbas, Almost convergence of triple sequences, Global Journal of Mathematical Analysis 2 (2014), 6-10.
5	A. Esi and E. Savas, On lacunary statistically convergent triple sequences in probabilistic normed space, Appl. Math.and Inf. Sci. 9 (2015), 2529-2534.
6	A.J. Dutta A. Esi and B.C. Tripathy, Statistically convergent triple sequence spaces defined by Orlicz function, Journal of Mathematical Analysis 4 (2013), 16-22.
7	S. Debnath, B. Sarma and B.C. Das, Some generalized triple sequence spaces of real numbers, Journal of Nonlinear Analysis and Optimization 6 (2015), 71-79.
8	K. Demirci, I-limit superior and limit inferior, Mathematics Communications 6 (2001), 165-172.
9	E. Dundar, C. Cakan, Rough I-convergence, Demonstr. Math. 47 (2014), 638-651. DOI
10	H.X. Phu, Rough convergence in normed linear spaces, Numer. Funct. Anal. Optim. 22 (2001), 199-222. DOI
11	H.X. Phu, Rough continuity of linear operators, Numer. Funct. Anal. Optim. 23 (2002), 139-146. DOI
12	H.X. Phu, Rough convergence in infinite dimensional normed spaces, Numer. Funct. Anal. Optim. 24 (2003), 285-301. DOI
13	A. Sahiner, M. Gurdal and F.K. Duden, Triple sequences and their statistical convergence Selcuk J. Appl. Math. 8 (2007), 49-55.
14	A. Sahiner, B.C. Tripathy, Some Irelated properties of triple sequences Selcuk J. Appl. Math. 9 (2008), 9-18.
15	N. Subramanian and A. Esi, The generalized tripled difference of ${\chi}^3$ sequence spaces, Global Journal of Mathematical Analysis 3 (2015), 54-60. DOI