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- Title
Some Hermite-Hadamard and Ostrowski type inequalities for fractional integral operators with exponential kernel.
- Authors
BUDAK, HÜSEYIN; SARIKAYA, MEHMET ZEKI; USTA, FUAT; YILDIRIM, HÜSEYIN
- Abstract
We firstly establish Hermite-Hadamard type integral inequalities for fractional integral operators. Secondly, we give new generalizations of fractional Ostrowski type inequalities through convex functions via Hölder and power means inequalities. In accordance with this purpose, we use fractional integral operators with exponential kernel.
- Subjects
FRACTIONAL integrals; INTEGRAL operators; INTEGRAL inequalities; CONVEX functions
- Publication
Acta et Commentationes Universitatis Tartuensis de Mathematica, 2019, Vol 23, Issue 1, p25
- ISSN
1406-2283
- Publication type
Article
- DOI
10.12697/ACUTM.2019.23.03