On inequalities of Bellman and Aczél type

Mohsen Erfanian Omidvar; Hamid Reza Moradi; Mohsen Erfanian Omidvar; Hamid Reza Moradi

doi:10.3934/math.2020216

AIMS Mathematics

2020, Volume 5, Issue 4: 3357-3364. doi: 10.3934/math.2020216

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Research article

On inequalities of Bellman and Aczél type

Department of Mathematics, Mashhad Branch, Islamic Azad University, Mashhad, Iran

Received: 06 October 2019 Accepted: 23 March 2020 Published: 31 March 2020
MSC : 15A42, 15A60, 47A30

The purpose of this paper is to prove some eigenvalue inequalities involving convex functions. These extend many remarkable inequalities, most of them related to the Bellman and Aczél inequalities.
- positive semidefinite matrix,
- weak majorization,
- convex functions,
- Bellman inequality,
- Aczél inequality
Citation: Mohsen Erfanian Omidvar, Hamid Reza Moradi. On inequalities of Bellman and Aczél type[J]. AIMS Mathematics, 2020, 5(4): 3357-3364. doi: 10.3934/math.2020216

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Abstract

The purpose of this paper is to prove some eigenvalue inequalities involving convex functions. These extend many remarkable inequalities, most of them related to the Bellman and Aczél inequalities.

References

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