Open AccessStrongly log-biconvex Functions and Applications
Author(s) -
Muhammad Aslam Noor,
Khalida İnayat Noor
Publication year - 2021
Publication title -
earthline journal of mathematical sciences
Language(s) - English
Resource type - Journals
ISSN - 2581-8147
DOI - 10.34198/ejms.7121.123
Subject(s) - mathematics , differentiable function , convex function , class (philosophy) , regular polygon , log log plot , parallelogram , logarithmically convex function , pure mathematics , binary logarithm , mathematical analysis , convex optimization , convex combination , computer science , geometry , robot , artificial intelligence
In this paper, we consider some new classes of log-biconvex functions. Several properties of the log-biconvex functions are studied. We also discuss their relations with convex functions. Several interesting results characterizing the log-biconvex functions are obtained. New parallelogram laws are obtained as applications of the strongly log-biconvex functions. Optimality conditions of differentiable strongly log-biconvex are characterized by a class of bivariational inequalities. Results obtained in this paper can be viewed as significant improvement of previously known results.