scholarly journals A note on paranormed difference sequence spaces of fractional order and their matrix transformations

2014 ◽  
Vol 22 (2) ◽  
pp. 249-253 ◽  
Author(s):  
S. Dutta ◽  
P. Baliarsingh
Keyword(s):  
Fractional Order ◽  
Sequence Spaces ◽  
Matrix Transformations ◽  
Difference Sequence ◽  
Difference Sequence Spaces

scholarly journals Generalized rough lacunary statistical triple difference sequence spaces in probability of fractional order defined by Musielak-Orlicz functionGeneralized rough lacunary statistical triple difference sequence spaces in probability of fractional order defined by Musielak-Orlicz function

2017 ◽  
Vol 37 (1) ◽  
pp. 55-62
Author(s):  
Shyamal Debnath ◽  
N. Subramanian
Keyword(s):  
Fractional Order ◽  
Orlicz Function ◽  
Lacunary Sequence ◽  
Sequence Spaces ◽  
Arbitrary Sequence ◽  
Difference Sequence ◽  
Positive Real ◽  
Topological Structures ◽  
Triple Difference ◽  
Difference Sequence Spaces

We generalized the concepts in probability of rough lacunary statistical by introducing the diference operator of fractional order, where is a proper fraction and = (mnk ) is anyxed sequence of nonzero real or complex numbers. We study some properties of this operator involving lacunary sequence and arbitrary sequence p = (prst) of strictly positive real numbers and investigate the topological structures of related triple diference sequence spaces. The main focus of the present paper is to generalized rough lacunary statistical of triple diference sequence spaces and investigate their topological structures as well as some inclusion concerning the operator :

scholarly journals On the generalized Riesz B-difference sequence spaces

Filomat ◽  
2010 ◽  
Vol 24 (4) ◽  
pp. 35-52 ◽  
Author(s):  
Metin Başarir
Keyword(s):  
Sufficient Conditions ◽  
Necessary And Sufficient Conditions ◽  
Sequence Spaces ◽  
Matrix Transformations ◽  
Difference Sequence ◽  
Topological Properties ◽  
Linear Spaces ◽  
The Matrix ◽  
Necessary And Sufficient ◽  
Difference Sequence Spaces

In this paper, we define the new generalized Riesz B-difference sequence spaces rq? (p, B), rqc (p, B), rq0 (p, B) and rq (p, B) which consist of the sequences whose Rq B-transforms are in the linear spaces l?(p), c (p), c0(p) and l(p), respectively, introduced by I.J. Maddox[8],[9]. We give some topological properties and compute the ?-, ?- and ?-duals of these spaces. Also we determine the necessary and sufficient conditions on the matrix transformations from these spaces into l? and c.

scholarly journals Difference Sequence Spaces and Matrix Transformations

1970 ◽  
Vol 7 (1) ◽  
pp. 24-30
Author(s):  
Geeta Bhakta Joshi ◽  
Shailendra Kumar Mishra ◽  
Shankar Rajpant
Keyword(s):  
Key Words ◽  
Sequence Spaces ◽  
Matrix Transformations ◽  
Difference Sequence ◽  
Difference Sequence Spaces

In this paper, we extend the work of Gaur, A.K. and Mursaleen [6] and also extend the work of Mursaleen, Gaur, A.K. and Saifi, A.H.[16]. We characterize the matrices that map S (p,D) r , ¥ (p) Dl , c (p) 0 D , Dc(p)and ( p) r D ¥ l into W(t ).Key words: matrix transformationsJournal of the Institute of Engineering, Vol. 7, No. 1, 2009, July pp. 24-30doi: 10.3126/jie.v7i1.2059 

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