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Paranormed Cesaro Sequence Spaces


Affiliations
1 Department of Mathematics, IIT Kharagpur, Kharagpur, India
2 Department of Mathematics, IGIT, Talcher, Orissa, India
     

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In this paper some new sequence spaces have been introduced; some topological results, certain inclusion relations and some matrix transformations have been discussed.

Given an infinite series

                                      Σ an

which we denote by “a", we write

                                      xn = a1+a2+......+an,

and we denote the sequence {xn} by x.


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  • Paranormed Cesaro Sequence Spaces

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Authors

S. Nanda
Department of Mathematics, IIT Kharagpur, Kharagpur, India
S. Mohanty
Department of Mathematics, IGIT, Talcher, Orissa, India

Abstract


In this paper some new sequence spaces have been introduced; some topological results, certain inclusion relations and some matrix transformations have been discussed.

Given an infinite series

                                      Σ an

which we denote by “a", we write

                                      xn = a1+a2+......+an,

and we denote the sequence {xn} by x.