Statistically Convergent and Cesáro Summable Fuzzy Real-valued Triple Sequences

Volume 1, Issue 1, October 2016     |     PP. 24-43      |     PDF (683 K)    |     Pub. Date: October 17, 2016
DOI:    2442 Downloads     28887 Views  

Author(s)

Munmun Nath, Department of Mathematics, S.S. College, Hailakandi; Assam, India
Bijan Nath, Department of Mathematics, National Institute of Technology, Silchar; Assam, India
Santanu Roy, Department of Mathematics, National Institute of Technology, Silchar; Assam, India

Abstract
In this article, the notion of different types of statistically convergent and statistically null fuzzy real-valued sequences having multiplicity greater than two is introduced. Some algebraic and topological properties such as solid, monotone, symmetric, convergence free, sequence algebra etc. of these spaces are studied. Also fuzzy real-valued Cesáro summable triple sequence space is introduced. A relation between strongly p-Cesáro summability and bounded statistically convergent triple sequences has been established.

Keywords
Fuzzy real-valued triple sequence, solid space, symmetric space, convergence free, sequence algebra, density, statistical convergence, statistical Cauchy, Cesáro summable, strong Cesáro summability.

Cite this paper
Munmun Nath, Bijan Nath, Santanu Roy, Statistically Convergent and Cesáro Summable Fuzzy Real-valued Triple Sequences , SCIREA Journal of Mathematics. Volume 1, Issue 1, October 2016 | PP. 24-43.

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