The Journal of the Indian Mathematical Society

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On Cesaro Sequence Space Defined by a Modulus Function in a Seminormed Space


Affiliations
1 Department of Mathematics, Government College, Chhachhrauli (Yamuna Nagar)-135 103, India
     

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The object of this paper is to introduce a new generalized Cesaro sequence space defined by a modulus function in a seminormed space. We examine various algebraic and topological properties of this space and also investigate some inclusion relations. The composite space ces(fv, p, q, s) using composite modulus function f&#957: has also been introduced.

Keywords

Cesaro Sequence Space, Modulus Function, Seminormed Space.
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  • On Cesaro Sequence Space Defined by a Modulus Function in a Seminormed Space

Abstract Views: 260  |  PDF Views: 1

Authors

Indu Bala
Department of Mathematics, Government College, Chhachhrauli (Yamuna Nagar)-135 103, India

Abstract


The object of this paper is to introduce a new generalized Cesaro sequence space defined by a modulus function in a seminormed space. We examine various algebraic and topological properties of this space and also investigate some inclusion relations. The composite space ces(fv, p, q, s) using composite modulus function f&#957: has also been introduced.

Keywords


Cesaro Sequence Space, Modulus Function, Seminormed Space.