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- Title
A comprehensive study on Milne-type inequalities with tempered fractional integrals.
- Authors
Haider, Wali; Budak, Hüseyin; Shehzadi, Asia; Hezenci, Fatih; Chen, Haibo
- Abstract
In the framework of tempered fractional integrals, we obtain a fundamental identity for differentiable convex functions. By employing this identity, we derive several modifications of fractional Milne inequalities, providing novel extensions to the domain of tempered fractional integrals. The research comprehensively examines significant functional classes, including convex functions, bounded functions, Lipschitzian functions, and functions of bounded variation.
- Subjects
FRACTIONAL integrals; FUNCTIONS of bounded variation; CONVEX functions
- Publication
Boundary Value Problems, 2024, Vol 2024, Issue 1, p1
- ISSN
1687-2762
- Publication type
Article
- DOI
10.1186/s13661-024-01855-1