NEW INEQUALITIES FOR POSITIVE CONVEX FUNCTIONS

Mohamed Amine Ighachane; Mohamed Akkouchi; Mohammad Sababheh

doi:10.11948/20220506

2024 Volume 14 Issue 2

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Mohamed Amine Ighachane, Mohamed Akkouchi, Mohammad Sababheh. NEW INEQUALITIES FOR POSITIVE CONVEX FUNCTIONS[J]. Journal of Applied Analysis & Computation, 2024, 14(2): 703-716. doi: 10.11948/20220506

Citation:

Mohamed Amine Ighachane, Mohamed Akkouchi, Mohammad Sababheh. NEW INEQUALITIES FOR POSITIVE CONVEX FUNCTIONS[J]. Journal of Applied Analysis & Computation, 2024, 14(2): 703-716. doi: 10.11948/20220506

NEW INEQUALITIES FOR POSITIVE CONVEX FUNCTIONS

1.
Sciences and Technologies Team (ESTE), Higher School of Education and Training, Chouaib Doukkali University, El Jadida, Morocco
2.
Department of Mathematics, Faculy of Sciences-Semlalia, University Cadi Ayyad, Av. Prince My. Abdellah, BP: 2390, Marrakesh (40.000-Marrakech), Morocco (Maroc)
3.
Department of Basic Sciences, Princess Sumaya University for Technology, Amman 11941, Jordan

Author Bio: Email: mohamedamineighachane@gmail.com(M. A. Ighachane); Email: akkm555@yahoo.fr(M. Akkouchi)
Corresponding author: Email: sababheh@psut.edu.jo; sababheh@yahoo.com(M. Sababheh)
Fund Project: The authors did not receive any funding to accomplish this work

Abstract

Abstract

The main goal of this paper is to present new inequalities for convex and log-convex functions. The significance of these inequalities follows from the way they extend many known results in the literature concerning convex functions, log-convex functions, means comparisons and matrix inequalities.
- Jensen's inequality /
- log-convexity /
- mean inequalities /
- matrix inequalities
MSC: 26A51, 39B62, 15A60, 47A63

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References

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