Refinements of Aczél-Popoviciu and Bellman Inequalities

JinYan Miao; Silvestru Sever Dragomir

doi:10.2478/awutm-2025-0003

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Refinements of Aczél-Popoviciu and Bellman Inequalities

Annals of West University of Timisoara - Mathematics and Computer Science

Volume 61 (2025): Issue 1 (January 2025)

By: JinYan Miao and Silvestru Sever Dragomir

Open Access

|Jun 2025

Abstract

Some refinements of the celebrated Aczél-Popoviciu and Bellman inequalities in both discrete and Lebesgue integral forms are provided. We also express Hölder and Aczél-Popoviciu inequalities in a monotonous sequence S(m), and the special case S(0) ≥ S(+∞) is our refinement.

References

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DOI: https://doi.org/10.2478/awutm-2025-0003 | Journal eISSN: 1841-3307 | Journal ISSN: 1841-3293

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Language: English

Page range: 31 - 40

Submitted on: May 22, 2025

Accepted on: Jun 15, 2025

Published on: Jun 25, 2025

Published by: West University of Timisoara

In partnership with: Paradigm Publishing Services

Publication frequency: Volume open

Keywords:

Aczél Inequality,

Aczél-Popoviciu Inequality,

Bellman Inequality

Related subjects:

Mathematics,

General mathematics

© 2025 JinYan Miao, Silvestru Sever Dragomir, published by West University of Timisoara
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

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