Statistical summability(C, 1) for sequences of fuzzy real numbers and a Tauberian theorem

2010 ◽  
Vol 21 (6) ◽  
pp. 379-384 ◽  
Author(s):  
Y. Altin ◽  
M. Mursaleen ◽  
H. Altinok
Keyword(s):  
Tauberian Theorem ◽  
Real Numbers ◽  
Fuzzy Real Numbers

scholarly journals Nörlund and Riesz mean of sequences of fuzzy real numbers

2010 ◽  
Vol 23 (5) ◽  
pp. 651-655 ◽  
Author(s):  
Binod Chandra Tripathy ◽  
Achyutananda Baruah
Keyword(s):  
Real Numbers ◽  
Riesz Mean ◽  
Fuzzy Real Numbers

scholarly journals ON I-ACCELERATION CONVERGENCE OF SEQUENCES OF FUZZY REAL NUMBERS

2012 ◽  
Vol 17 (4) ◽  
pp. 549-577 ◽  
Author(s):  
Amar Jyoti Dutta ◽  
Binod Chandra Tripathy
Keyword(s):  
Decomposition Theorem ◽  
Real Numbers ◽  
Different Types ◽  
Fuzzy Real Numbers ◽  
Convergence Of Sequences

In this article we introduce the notion of ideal acceleration convergence of sequences of fuzzy real numbers. We have proved a decomposition theorem for ideal acceleration convergence of sequences as well as for subsequence transformations and studied different types of acceleration convergence of fuzzy real valued sequence.

scholarly journals Some Double Sequence Spaces of Fuzzy Real Numbers of Paranormed Type

2013 ◽  
Vol 2013 ◽  
pp. 1-4
Author(s):  
Bipul Sarma
Keyword(s):  
Double Sequence ◽  
Sequence Spaces ◽  
Real Numbers ◽  
Double Sequence Spaces ◽  
Fuzzy Real Numbers ◽  
Sequence Algebra ◽  
Inclusion Results

We study different properties of convergent, null, and bounded double sequence spaces of fuzzy real numbers like completeness, solidness, sequence algebra, symmetricity, convergence-free, and so forth. We prove some inclusion results too.

New Classes of Statistically Pre-Cauchy Triple Sequences of Fuzzy Numbers Defined by Orlicz Function

2018 ◽  
Vol 85 (3-4) ◽  
pp. 411
Author(s):  
Sangita Saha ◽  
Santanu Roy
Keyword(s):  
Cauchy Sequence ◽  
Fuzzy Numbers ◽  
Orlicz Function ◽  
Sufficient Condition ◽  
Necessary And Sufficient Condition ◽  
Real Numbers ◽  
Fuzzy Real Numbers ◽  
Sequences Of Fuzzy Numbers ◽  
Necessary And Sufficient

In this article, the concept of statistically pre-Cauchy sequence of fuzzy real numbers having multiplicity greater than two defined by Orlicz function is introduced. A characterization of the class of bounded statistically pre-Cauchy triple sequences of fuzzy numbers with the help of Orlicz function is presented. Then a necessary and suffcient condition for a bounded triple sequence of fuzzy real numbers to be statistically pre-Cauchy is proved. Also a necessary and sufficient condition for a bounded triple sequence of fuzzy real numbers to be statistically convergent is derived. Further, a characterization of the class of bounded statistically convergent triple sequences of fuzzy numbers is presented and linked with Cesaro summability.

scholarly journals NEW TYPE OF DIFFERENCE SEQUENCE SPACES OF FUZZY REAL NUMBERS

2009 ◽  
Vol 14 (3) ◽  
pp. 391-397 ◽  
Author(s):  
Binod Chandra Tripathy ◽  
Achyutanada Baruah
Keyword(s):  
Difference Operator ◽  
Sequence Spaces ◽  
Difference Sequence ◽  
Real Numbers ◽  
Fuzzy Real Numbers ◽  
New Type ◽  
Difference Sequence Spaces

In this paper we introduce the natation difference operator Δrn(m ≥ 0, an integer) for studying properties of some sequence spaces. We define the sequence spaces l ∞ F (Δm), cF(Δm), cF o(Δm) and investigate their properties like solid‐ness, convergence free, symmetricity, completeness.

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