Open AccessOn Some New Paranormed Difference Sequence Spaces Defined by Orlicz Functions
Author(s) -
Binod Chandra Tripathy,
Hemen Dutta
Publication year - 2010
Publication title -
kyungpook mathematical journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.287
H-Index - 19
eISSN - 1225-6951
pISSN - 0454-8124
DOI - 10.5666/kmj.2010.50.1.059
Subject(s) - mathematics , birnbaum–orlicz space , norm (philosophy) , sequence (biology) , pure mathematics , topological tensor product , lp space , bounded function , interpolation space , construct (python library) , function space , topological space , class (philosophy) , discrete mathematics , functional analysis , mathematical analysis , banach space , computer science , law , political science , genetics , biology , programming language , biochemistry , artificial intelligence , chemistry , gene
The main aim of this article is to introduce a new class of sequence spaces using the concept of n-norm and to investigate these spaces for some linear topological structures as well as examine these spaces with respect to derived (n-1)-norm. We use an Orlicz function, a bounded sequence of positive real numbers and some difference operators to construct these spaces so that they become more generalized and some other spaces can be derived under special cases. These investigations will enhance the acceptability of the notion of n-norm by giving a way to construct different sequence spaces with elements in n-normed spaces.
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