Hermite–Hadamard-type inequalities for r-convex functions based on the use of Riemann–Liouville fractional integrals
By using two fundamental fractional integral identities, we deduce some new Hermite–Hadamard-type inequalities for differentiable r-convex functions and twice-differentiable r-convex functions involving Riemann–Liouville fractional integrals.
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| Date: | 2013 |
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| Main Authors: | , , |
| Format: | Article |
| Language: | English |
| Published: |
Інститут математики НАН України
2013
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| Series: | Український математичний журнал |
| Subjects: | |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Hermite–Hadamard-type inequalities for r-convex functions based on the use of Riemann–Liouville fractional integrals / J. Wang, J. Deng, M. Fečkan // Український математичний журнал. — 2013. — Т. 65, № 2. — С. 175-191. — Бібліогр.: 28 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| Summary: | By using two fundamental fractional integral identities, we deduce some new Hermite–Hadamard-type inequalities for differentiable r-convex functions and twice-differentiable r-convex functions involving Riemann–Liouville fractional integrals. |
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