Jensen’s inequality and tgs-convex functions with applications

Author(s):

Hasan Barsam , Yamin Sayyari , Somayeh Mirzadeh

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:

In recent years, many researches have been done on the tgs-convex functions and their applications. In this article, we present some properties of the tgs-convex functions by interesting examples. Then we investigate the non-positive property of the tgs-convex functions. Also, we derive types of the Jensen’s inequality for the tgs-convex functions and obtain several inequalities with respect to the Jensen’s inequality. Finally, we give some applications of these inequalities.

Keywords:

Jensen’s inequality , tgs-convex function , Global bounds

Language:
English
Published:
Journal of Mahani Mathematical Research, Volume:12 Issue: 2, Summer and Autumn 2023
Pages:
459 to 469
https://www.magiran.com/p2583801