Title of article :
JENSEN S INEQUALITY AND tgs-CONVEX FUNCTIONS WITH APPLICATIONS
Author/Authors :
Barsam ، Hasan Department of Mathematics - Faculty of Science - University of Jiroft , Sayyari ، Yamin Department of Mathematics - Sirjan University of Technology , Mirzadeh ، Somayeh Department of Mathematics - University of Hormozgan
Abstract :
In recent years, many researches have been done on the tgsconvex 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
Journal title :
Journal of Mahani Mathematical Research Center
Journal title :
Journal of Mahani Mathematical Research Center
