We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
NEW EXTENSIONS OF THE HERMITE-HADAMARD INEQUALITIES INVOLVING RIEMANN-LIOUVILLE FRACTIONAL INTEGRALS.
- Authors
BUDAK, H.; KARA, H.; SARIKAYA, M. Z.; KIRIS, M. E.
- Abstract
In this study, we establish the above and below bounds for the left and right hand sides of fractional Hermite-Hadamard inequalities by using functions whose second derivatives are bounded. We also give some refinements of fractional Hermite-Hadamard inequalities by using the functions that have the conditions f'(a+b-t)-f'(t) ≥ 0, t ∊ [a, a+b/2].
- Subjects
FRACTIONAL integrals; MATHEMATICAL inequalities; RIEMANN integral; LIOUVILLE'S theorem; DERIVATIVES (Mathematics)
- Publication
Miskolc Mathematical Notes, 2020, Vol 21, Issue 2, p665
- ISSN
1787-2405
- Publication type
Article
- DOI
10.18514/MMN.2020.3073