Sharp Triangle Inequalities in Quasi-Normed Spaces
Risto MalÄeski *
Faculty of Informatics, FON University, Skopje, Macedonia.
*Author to whom correspondence should be addressed.
Abstract
Triangle inequality is regarded as the most prominent and important inequality in the theory of normed spaces and therefore it has been a major topic of interest treated by numerous mathematicians. However, the above inequality, as well as its generalizations are also very important in the theory of quasi-normed spaces. Therefore, that one is a subject of additional research in both quasi-normed and generalized quasi-normed space.
Keywords: Quasi-norm, generalized quasi-norm, triangle inequality.