@article{MAKHILLJEAS2019142218635,
    title = {On the n-Normed Space of Continuous Functions},
    journal = {Journal of Engineering and Applied Sciences},
    volume = {14},
    number = {22},
    pages = {8312-8314},
    year = {2019},
    issn = {1816-949x},
    doi = {jeasci.2019.8312.8314},
    url = {https://makhillpublications.co/view-article.php?issn=1816-949x&doi=jeasci.2019.8312.8314},
    author = {Rehab and},
    keywords = {particular,p-summable,n-normed space,dual space,convergence space,usual norm},
    abstract = {In Sixties the concept of 2-normed spaces was initially developed by Gahler while that of n-normed
space one can see in Misiak. Since, then many others have studied this concepts and obtained various results.
Mutaqin and Gunawan studied the relation between two known n-norms on l<sup>p</sup>, the space of p-summable
sequences. The purpose of this study is to study the relation between the two n-norms on L<sub>&infin;</sub>, the space of all 4
continuous functions. The first n-norm is taken from Gunawan definition while the second n-norm is derived
from Gahler&#146;s formula. In particular, we examine the convergence in terms of these n-norms and prove that the
convergence in terms of each of these n-norms is equivalent to that in the usual norm on L<sub>&infin;</sub>.}
    }