Tempered fractional version of trapezoid-type inequalities
Journal of Inequalities and Applications, vol.2025, no.1, 2025 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 2025 Issue: 1
- Publication Date: 2025
- Doi Number: 10.1186/s13660-025-03346-y
- Journal Name: Journal of Inequalities and Applications
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, MathSciNet, Metadex, zbMATH, Directory of Open Access Journals, Civil Engineering Abstracts
- Keywords: Convex functions, Fractional integrals, Tempered fractional integrals, Trapezoid-type inequalities
- Kocaeli University Affiliated: Yes
Abstract
In this article, trapezoid-type inequalities are proved by means of convex functions according to tempered fractional integral operators. The resulting trapezoid-type inequalities generalize several studies on this subject, including those involving Riemann-Liouville fractional integrals. To obtain these types of inequalities, we utilize the Hölder and power-mean inequalities. Finally, new results are obtained through specific parameter choices.