Title : q-norms are really norms ( q-norms are really norms )
Authors: H. Belbachir , Madjid Mirzavaziri , Mohammad Sal Moslehian ,
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Abstract
ABSTRACT. Replacing the triangle inequality, in the definition of a norm, by kx + yk q ≤ 2q−1 (kxk q + kyk q ), we introduce the notion of a q-norm. We establish that every q-norm is a norm in the usual sense, and that the converse is true as well.
Keywords
, Norm, q-norm, convexity.
@article{paperid:457,
author = {H. Belbachir and Mirzavaziri, Madjid and Sal Moslehian, Mohammad},
title = {q-norms are really norms},
journal = {Australian Journal of Mathematical Analysis and Applications},
year = {2006},
volume = {3},
number = {1},
month = {February},
issn = {1449-5910},
pages = {1--3},
numpages = {2},
keywords = {Norm; q-norm; convexity.},
}
%0 Journal Article
%T q-norms are really norms
%A H. Belbachir
%A Mirzavaziri, Madjid
%A Sal Moslehian, Mohammad
%J Australian Journal of Mathematical Analysis and Applications
%@ 1449-5910
%D 2006
