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- Title
QUASI-CONVEX AND Q-CLASS FUNCTIONS.
- Authors
MORADI, HAMID REZA; SHIGERU FURUICHI; SABABHEH, MOHAMMAD
- Abstract
Convex functions and their variants have played a significant role in the literature. In this article, we investigate two important related classes, namely quasi-convex and Q-class functions. We will show that these two classes satisfy similar but different properties as those fulfilled by convex functions. Our discussion will include refinements of known inequalities, super-additivity behavior, Jensen-Mercer inequality, and other related results. Among many other results, we show that an increasing quasi-convex function...
- Subjects
CONVEX functions; SCHUR functions; EQUALITY; MATHEMATICAL bounds; MATHEMATICAL analysis
- Publication
Journal of Mathematical Inequalities, 2023, Vol 17, Issue 3, p893
- ISSN
1846-579X
- Publication type
Article
- DOI
10.7153/jmi-2023-17-57