New Hermite–Hadamard Type Inequalities for ψ-Riemann–Liouville Fractional Integral via Convex Functions
This paper established some new Hermite–Hadamard type inequalities for ψ-Riemann–Liouville fractional integrals via convex functions. As applications, we applied the inequalities to special means of real numbers and constructed inequalities for the beta function.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2020-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2020/6953962 |
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| _version_ | 1832547061666414592 |
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| author | Yining Sun Run Xu |
| author_facet | Yining Sun Run Xu |
| author_sort | Yining Sun |
| collection | DOAJ |
| description | This paper established some new Hermite–Hadamard type inequalities for ψ-Riemann–Liouville fractional integrals via convex functions. As applications, we applied the inequalities to special means of real numbers and constructed inequalities for the beta function. |
| format | Article |
| id | doaj-art-17c37861e1c7403b90da28c6cb1518cf |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-17c37861e1c7403b90da28c6cb1518cf2025-02-03T06:46:06ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2020-01-01202010.1155/2020/69539626953962New Hermite–Hadamard Type Inequalities for ψ-Riemann–Liouville Fractional Integral via Convex FunctionsYining Sun0Run Xu1School of Mathematical Sciences, Qufu Normal University, Qufu 273165, Shandong, ChinaSchool of Mathematical Sciences, Qufu Normal University, Qufu 273165, Shandong, ChinaThis paper established some new Hermite–Hadamard type inequalities for ψ-Riemann–Liouville fractional integrals via convex functions. As applications, we applied the inequalities to special means of real numbers and constructed inequalities for the beta function.http://dx.doi.org/10.1155/2020/6953962 |
| spellingShingle | Yining Sun Run Xu New Hermite–Hadamard Type Inequalities for ψ-Riemann–Liouville Fractional Integral via Convex Functions Discrete Dynamics in Nature and Society |
| title | New Hermite–Hadamard Type Inequalities for ψ-Riemann–Liouville Fractional Integral via Convex Functions |
| title_full | New Hermite–Hadamard Type Inequalities for ψ-Riemann–Liouville Fractional Integral via Convex Functions |
| title_fullStr | New Hermite–Hadamard Type Inequalities for ψ-Riemann–Liouville Fractional Integral via Convex Functions |
| title_full_unstemmed | New Hermite–Hadamard Type Inequalities for ψ-Riemann–Liouville Fractional Integral via Convex Functions |
| title_short | New Hermite–Hadamard Type Inequalities for ψ-Riemann–Liouville Fractional Integral via Convex Functions |
| title_sort | new hermite hadamard type inequalities for ψ riemann liouville fractional integral via convex functions |
| url | http://dx.doi.org/10.1155/2020/6953962 |
| work_keys_str_mv | AT yiningsun newhermitehadamardtypeinequalitiesforpsriemannliouvillefractionalintegralviaconvexfunctions AT runxu newhermitehadamardtypeinequalitiesforpsriemannliouvillefractionalintegralviaconvexfunctions |