Unified discrete and integral Giaccardi inequalities under the isotonic linear functionals and their applications in different time scales
This article introduces the Giaccardi inequality using isotonic linear functionals and h-convexity. This work includes both discrete and integral variants of this inequality. The important Petrović inequality is deduced as a special case. For some applications, the established inequalities are extended to time scales.
Authors
- Shahram Rezapour (ORCID: https://orcid.org/0000-0003-3463-2607)
- Muhammad Samraiz (ORCID: https://orcid.org/0000-0001-8480-2817)
- Saima Naheed (ORCID: https://orcid.org/0000-0003-1984-525X)
- Hafiz Ali Hamza
Institutions
- University of Sargodha (PK)
- China Medical University (TW)
- China Medical University Hospital (TW)
- Azarbaijan Shahid Madani University (IR)
Publication Details
- Journal
- Journal of Inequalities and Applications
- Published
- 2025-03-13
- DOI
- https://doi.org/10.1186/s13660-025-03280-z
- Primary Topic
- Mathematical Inequalities and Applications
- Type
- article
- Field-Weighted Citation Impact
- 0.00