Journal of Analysis & Number Theory
Journal license

Journal

Journal of Analysis & Number Theory


Volume
& Issue

Volume 1, Issue 2


Published
on

July 1, 2013


Pages

33-35


DOI

Article

The Semi normed space defined by χ sequences

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Authors

Nagarajan Subramanian* Affiliation:
Department of Mathematics, SASTRA University, Thanjavur–613 401, India
, Pannerselvam Thirunavukarasu Affiliation:
P. G. and Research Department of Mathematics, Periyar E. V . R. College (Autonomous), Trichy–620 023, India
and Ramachandraiyer Babu Affiliation:
Department of Mathematics, Shanmugha Polytechnic College, Thanjavur–613 401, India


Abstract

In this paper we introduce the sequence spaces $\chi (p,\sigma ,q,s)$, $\Lambda (p,\sigma ,q,s)$ and define a semi normed space $(X,q)$ semi normed by $q$. We study some properties of these sequence spaces and obtain some inclusion relations.


Keywords

Chi sequence, Analytic sequence, Invariant mean, Semi norm


Citation

Subramanian, N., Thirunavukarasu, P., & Babu, R. (2013). The semi normed space defined by χ sequences. Journal of Analysis & Number Theory, 1(2), 33–35. https://doi.org/10.12785/jant/010201

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