Australian Journal of Mathematical Analysis and Applications, Volume (4), No (1), Year (2007-2) , Pages (1-20)

Title : Power and Euler-Lagrange norms ( Power and Euler-Lagrange norms )

Authors: Mohammad Sal Moslehian , John M Rassias ,

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ABSTRACT. We introduce the notions of power and Euler-Lagrange norms by replacing the triangle inequality, in the definition of norm, by appropriate inequalities. We prove that every usual norm is a power norm and vice versa. We also show that every norm is an Euler-Lagrange norm and that the converse is true under certain condition.


, Norm, power norm, Euler-Lagrange norm, convexity
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author = {Sal Moslehian, Mohammad and John M Rassias},
title = {Power and Euler-Lagrange norms},
journal = {Australian Journal of Mathematical Analysis and Applications},
year = {2007},
volume = {4},
number = {1},
month = {February},
issn = {1449-5910},
pages = {1--20},
numpages = {19},
keywords = {Norm; power norm; Euler-Lagrange norm; convexity},


%0 Journal Article
%T Power and Euler-Lagrange norms
%A Sal Moslehian, Mohammad
%A John M Rassias
%J Australian Journal of Mathematical Analysis and Applications
%@ 1449-5910
%D 2007