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1
Content available remote Some generalized double lacunary Zweier convergent sequence spaces
Raj K., Pandoh S.
Commentationes Mathematicae
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2016
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Vol 56, No. 2
185--207
EN
We introduce generalized double lacunary Zweier convergent sequence spaces over n-normed spaces via a sequence of Orlicz functions. We alsomake an e×ort to study some topological properties and inclusion relations between these spaces. Furthermore, we study the concept of double lacunary statistical Zweier convergence over n-normed spaces.
2
Content available remote On generalized Orlicz sequence spaces defined by double sequences
Kolk E.
Fasciculi Mathematici
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2015
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Nr 55
65--80
EN
S.D. Parashar and B. Choudhary defined in 1994 certain paranorms for some Orlicz sequence spaces. Their ideas are applied later for topologization of various generalized Orlicz sequence spaces. The author determines in 2011 some alternative F-seminorms (which are also paranorms) for such spaces. In this paper these results are extended to generalized Orlicz sequence spaces defined via double sequences.
3
Content available remote On some generalized new type difference sequence spaces defined by a modulus function in a seminformed space
Esi A., Tripathy B. C.
Fasciculi Mathematici
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2008
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Nr 40
15-24
EN
The idea of difference sequence spaces were introduced by Kizmaz [6] and generalized by Et. and Colak [4]. Later Tripathy, Esi and Tripathy [15] introduced the notion of the new difference operator Δnm for n, m ∈ N. In this paper we introduced some new type of generalized difference sequence spaces defined by a modulus function and the new type of statistically convergent generalized difference sequence space. We study their different properties and obtain some inclusion relations involving these new type difference sequence spaces.
4
Content available remote Statistical convergence on composite vector valued sequence space
Basu A., Srivastava P. D.
Journal of Mathematics and Applications
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2007
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Vol. 29
75-90
EN
In this paper, we have defined the idea of statistical convergence and statistically Cauchy sequence over the generalized class of composite vector valued sequence space F(Ek, f). The class F(Ek, f) is in-troduced and discussed by Ghosh and Srivastava [7], where F is a normal paranormed sequence space, Ek's are Banach spaces and f is a modulus function. We have established some results of Fridy, Connor and Rath and Tripathy, such as, decomposition of statistically convergent sequences, equivalence of statistical convergence and statistical Cauchy convergence and sequentially completeness of the space of bounded statistically con-vergent sequences of F [E, f].
5
Content available remote Some sequence spaces defined by [N,Pn] summability
Bhardwaj V., Singh N.
Demonstratio Mathematica
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1999
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Vol. 32, nr 3
539-546
EN
The object of this paper is to introduce some new sequence spaces which arise from the notion of [N, pn] summability. Some topological results, certain inclusion relations and a result on matrix transformations have been discussed.
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