Refinements of Aczél-Popoviciu and Bellman Inequalities
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.
Authors
- Sever S Dragomir (ORCID: https://orcid.org/0000-0003-2902-6805)
- JinYan Miao
Institutions
- Victoria University (AU)
Publication Details
- Journal
- Annals of West University of Timisoara - Mathematics and Computer Science
- Published
- 2025-01-01
- DOI
- https://doi.org/10.2478/awutm-2025-0003
- Primary Topic
- Mathematical Inequalities and Applications
- Type
- article
- Field-Weighted Citation Impact
- 0.00