Jensen’s inequality and tgs-convex functions with applications

Document Type : Research Paper

Authors

1 Department of Mathematics, Faculty of Science, University of Jiroft, P.O. Box 78671-61167, Jiroft, Iran

2 Department of Mathematics, Sirjan University of Technology, Sirjan, Iran

3 Department of Mathematics, University of Hormozgan, P.O. Box 3995, Bandar Abbas, Iran

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

References

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History

  • Receive Date: 25 July 2022
  • Revise Date: 16 January 2023
  • Accept Date: 31 January 2023

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