ISSN 2394-5125
 

Research Article 


SOME NEW HILBERT DOUBLE SEQUENCE SPACE DEFINED BY ORLICZ FUNCTION IN N-NORMED SPACE

S.Thalapathiraj, B.Baskaran.

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  • Abstract
    The concept of new Hilbert sequence space was introduced by Harunpolat [8].Some initial works
    on n-norm were carried out by Misiak.A in 1989.In this paper, we introduce new Hilbert double sequence
    spaces defined by Orlicz function in n-normed spaces and also study some topological properties and
    inclusion relations between these spaces.

    Key words: Orlicz function, double sequence space, n-normed space, Hilbert sequence space


     
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    How to Cite this Article
    Pubmed Style

    , B.Baskaran . SOME NEW HILBERT DOUBLE SEQUENCE SPACE DEFINED BY ORLICZ FUNCTION IN N-NORMED SPACE. JCR. 2020; 7(19): 9355-9362. doi:10.31838/jcr.07.19.1043


    Web Style

    , B.Baskaran . SOME NEW HILBERT DOUBLE SEQUENCE SPACE DEFINED BY ORLICZ FUNCTION IN N-NORMED SPACE. http://www.jcreview.com/?mno=4684 [Access: August 16, 2021]. doi:10.31838/jcr.07.19.1043


    AMA (American Medical Association) Style

    , B.Baskaran . SOME NEW HILBERT DOUBLE SEQUENCE SPACE DEFINED BY ORLICZ FUNCTION IN N-NORMED SPACE. JCR. 2020; 7(19): 9355-9362. doi:10.31838/jcr.07.19.1043



    Vancouver/ICMJE Style

    , B.Baskaran . SOME NEW HILBERT DOUBLE SEQUENCE SPACE DEFINED BY ORLICZ FUNCTION IN N-NORMED SPACE. JCR. (2020), [cited August 16, 2021]; 7(19): 9355-9362. doi:10.31838/jcr.07.19.1043



    Harvard Style

    & B.Baskaran, . (2020) SOME NEW HILBERT DOUBLE SEQUENCE SPACE DEFINED BY ORLICZ FUNCTION IN N-NORMED SPACE. JCR, 7 (19), 9355-9362. doi:10.31838/jcr.07.19.1043



    Turabian Style

    , and B.Baskaran. 2020. SOME NEW HILBERT DOUBLE SEQUENCE SPACE DEFINED BY ORLICZ FUNCTION IN N-NORMED SPACE. Journal of Critical Reviews, 7 (19), 9355-9362. doi:10.31838/jcr.07.19.1043



    Chicago Style

    , and B.Baskaran. "SOME NEW HILBERT DOUBLE SEQUENCE SPACE DEFINED BY ORLICZ FUNCTION IN N-NORMED SPACE." Journal of Critical Reviews 7 (2020), 9355-9362. doi:10.31838/jcr.07.19.1043



    MLA (The Modern Language Association) Style

    , and B.Baskaran. "SOME NEW HILBERT DOUBLE SEQUENCE SPACE DEFINED BY ORLICZ FUNCTION IN N-NORMED SPACE." Journal of Critical Reviews 7.19 (2020), 9355-9362. Print. doi:10.31838/jcr.07.19.1043



    APA (American Psychological Association) Style

    & B.Baskaran, . (2020) SOME NEW HILBERT DOUBLE SEQUENCE SPACE DEFINED BY ORLICZ FUNCTION IN N-NORMED SPACE. Journal of Critical Reviews, 7 (19), 9355-9362. doi:10.31838/jcr.07.19.1043