Some new k-Riemann–Liouville fractional integral inequalities associated with the strongly η-quasiconvex functions with modulus μ≥0 $\mu\geq0$
Abstract A new class of quasiconvexity called strongly η-quasiconvex function was introduced in (Awan et al. in Filomat 31(18):5783–5790, 2017). In this paper, we obtain some new k-Riemann–Liouville fractional integral inequalities associated with this class of functions. For specific values of the...
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2018-06-01
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| Series: | Journal of Inequalities and Applications |
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| Online Access: | http://link.springer.com/article/10.1186/s13660-018-1736-5 |
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doaj-736cdcee583845d19a634d0cf696d47a2020-11-25T00:31:06ZengSpringerOpenJournal of Inequalities and Applications1029-242X2018-06-012018111010.1186/s13660-018-1736-5Some new k-Riemann–Liouville fractional integral inequalities associated with the strongly η-quasiconvex functions with modulus μ≥0 $\mu\geq0$Eze R. Nwaeze0Seth Kermausuor1Ana M. Tameru2Department of Mathematics, Tuskegee UniversityDepartment of Mathematics and Computer Science, Alabama State UniversityDepartment of Mathematics, Tuskegee UniversityAbstract A new class of quasiconvexity called strongly η-quasiconvex function was introduced in (Awan et al. in Filomat 31(18):5783–5790, 2017). In this paper, we obtain some new k-Riemann–Liouville fractional integral inequalities associated with this class of functions. For specific values of the associated parameters, we recover results due to Dragomir and Pearce (Bull. Aust. Math. Soc. 57:377–385, 1998), Ion (Ann. Univ. Craiova, Math. Sci. Ser. 34:82–87, 2007), and Alomari et al. (RGMIA Res. Rep. Collect. 12(Supplement):Article ID 14, 2009).http://link.springer.com/article/10.1186/s13660-018-1736-5Hermite–Hadamard inequalityStrongly η-quasiconvexRiemann–Liouville fractional integrals |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Eze R. Nwaeze Seth Kermausuor Ana M. Tameru |
| spellingShingle |
Eze R. Nwaeze Seth Kermausuor Ana M. Tameru Some new k-Riemann–Liouville fractional integral inequalities associated with the strongly η-quasiconvex functions with modulus μ≥0 $\mu\geq0$ Journal of Inequalities and Applications Hermite–Hadamard inequality Strongly η-quasiconvex Riemann–Liouville fractional integrals |
| author_facet |
Eze R. Nwaeze Seth Kermausuor Ana M. Tameru |
| author_sort |
Eze R. Nwaeze |
| title |
Some new k-Riemann–Liouville fractional integral inequalities associated with the strongly η-quasiconvex functions with modulus μ≥0 $\mu\geq0$ |
| title_short |
Some new k-Riemann–Liouville fractional integral inequalities associated with the strongly η-quasiconvex functions with modulus μ≥0 $\mu\geq0$ |
| title_full |
Some new k-Riemann–Liouville fractional integral inequalities associated with the strongly η-quasiconvex functions with modulus μ≥0 $\mu\geq0$ |
| title_fullStr |
Some new k-Riemann–Liouville fractional integral inequalities associated with the strongly η-quasiconvex functions with modulus μ≥0 $\mu\geq0$ |
| title_full_unstemmed |
Some new k-Riemann–Liouville fractional integral inequalities associated with the strongly η-quasiconvex functions with modulus μ≥0 $\mu\geq0$ |
| title_sort |
some new k-riemann–liouville fractional integral inequalities associated with the strongly η-quasiconvex functions with modulus μ≥0 $\mu\geq0$ |
| publisher |
SpringerOpen |
| series |
Journal of Inequalities and Applications |
| issn |
1029-242X |
| publishDate |
2018-06-01 |
| description |
Abstract A new class of quasiconvexity called strongly η-quasiconvex function was introduced in (Awan et al. in Filomat 31(18):5783–5790, 2017). In this paper, we obtain some new k-Riemann–Liouville fractional integral inequalities associated with this class of functions. For specific values of the associated parameters, we recover results due to Dragomir and Pearce (Bull. Aust. Math. Soc. 57:377–385, 1998), Ion (Ann. Univ. Craiova, Math. Sci. Ser. 34:82–87, 2007), and Alomari et al. (RGMIA Res. Rep. Collect. 12(Supplement):Article ID 14, 2009). |
| topic |
Hermite–Hadamard inequality Strongly η-quasiconvex Riemann–Liouville fractional integrals |
| url |
http://link.springer.com/article/10.1186/s13660-018-1736-5 |
| work_keys_str_mv |
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