Hermite-Hadamard type inequalities involving Riemann-Liouville fractional integrals for η-convex functions(η凸函数的Riemann-Liouville分数阶积分的Hermite-Hadamard 型不等式)
对已有的2个η凸函数的分数阶积分的Hermite-Hadamard型不等式进行了改进.在一阶导函数的绝对值为η凸函数的情况下，利用涉及一阶导函数的分数阶积分恒等式，得到了新的分数阶积分的Hermite-Hadamard型不等式.
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| Format: | Article |
| Language: | zho |
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Zhejiang University Press
2018-09-01
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| Series: | Zhejiang Daxue xuebao. Lixue ban |
| Subjects: | |
| Online Access: | https://doi.org/10.3785/j.issn.1008-9497.2018.05.006 |
| _version_ | 1827302833519591424 |
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| author | SHITongye(时统业) ZENGZhihong(曾志红) CAOJunfei(曹俊飞) |
| author_facet | SHITongye(时统业) ZENGZhihong(曾志红) CAOJunfei(曹俊飞) |
| author_sort | SHITongye(时统业) |
| collection | DOAJ |
| description | 对已有的2个η凸函数的分数阶积分的Hermite-Hadamard型不等式进行了改进.在一阶导函数的绝对值为η凸函数的情况下，利用涉及一阶导函数的分数阶积分恒等式，得到了新的分数阶积分的Hermite-Hadamard型不等式. |
| first_indexed | 2024-04-24T16:51:51Z |
| format | Article |
| id | doaj.art-6322387091814ffd97dffd6af768ce96 |
| institution | Directory Open Access Journal |
| issn | 1008-9497 |
| language | zho |
| last_indexed | 2024-04-24T16:51:51Z |
| publishDate | 2018-09-01 |
| publisher | Zhejiang University Press |
| record_format | Article |
| series | Zhejiang Daxue xuebao. Lixue ban |
| spelling | doaj.art-6322387091814ffd97dffd6af768ce962024-03-29T01:58:38ZzhoZhejiang University PressZhejiang Daxue xuebao. Lixue ban1008-94972018-09-0145554955410.3785/j.issn.1008-9497.2018.05.006Hermite-Hadamard type inequalities involving Riemann-Liouville fractional integrals for η-convex functions(η凸函数的Riemann-Liouville分数阶积分的Hermite-Hadamard 型不等式)SHITongye(时统业)0https://orcid.org/0000-0001-6142-8906ZENGZhihong(曾志红)1https://orcid.org/0000-0001-9684-1397CAOJunfei(曹俊飞)2 1.PLA Naval Command College, Nanjing 211800, China( 1.海军指挥学院，江苏 南京 211800) 2.Editorial Department of Journal, Guangdong University of Education, Guangzhou 510303, China( 2.广东第二师范学院学报编辑部，广东 广州 510303) 3.Department of Mathematics, Guangdong University of Education, Guangzhou 510303, China( 3.广东第二师范学院数学系，广东 广州 510303)对已有的2个η凸函数的分数阶积分的Hermite-Hadamard型不等式进行了改进.在一阶导函数的绝对值为η凸函数的情况下，利用涉及一阶导函数的分数阶积分恒等式，得到了新的分数阶积分的Hermite-Hadamard型不等式.https://doi.org/10.3785/j.issn.1008-9497.2018.05.006η凸函数hermite-hadamard型不等式分数阶积分 |
| spellingShingle | SHITongye(时统业) ZENGZhihong(曾志红) CAOJunfei(曹俊飞) Hermite-Hadamard type inequalities involving Riemann-Liouville fractional integrals for η-convex functions(η凸函数的Riemann-Liouville分数阶积分的Hermite-Hadamard 型不等式) Zhejiang Daxue xuebao. Lixue ban η凸函数 hermite-hadamard型不等式 分数阶积分 |
| title | Hermite-Hadamard type inequalities involving Riemann-Liouville fractional integrals for η-convex functions(η凸函数的Riemann-Liouville分数阶积分的Hermite-Hadamard 型不等式) |
| title_full | Hermite-Hadamard type inequalities involving Riemann-Liouville fractional integrals for η-convex functions(η凸函数的Riemann-Liouville分数阶积分的Hermite-Hadamard 型不等式) |
| title_fullStr | Hermite-Hadamard type inequalities involving Riemann-Liouville fractional integrals for η-convex functions(η凸函数的Riemann-Liouville分数阶积分的Hermite-Hadamard 型不等式) |
| title_full_unstemmed | Hermite-Hadamard type inequalities involving Riemann-Liouville fractional integrals for η-convex functions(η凸函数的Riemann-Liouville分数阶积分的Hermite-Hadamard 型不等式) |
| title_short | Hermite-Hadamard type inequalities involving Riemann-Liouville fractional integrals for η-convex functions(η凸函数的Riemann-Liouville分数阶积分的Hermite-Hadamard 型不等式) |
| title_sort | hermite hadamard type inequalities involving riemann liouville fractional integrals for η convex functions η凸函数的riemann liouville分数阶积分的hermite hadamard 型不等式 |
| topic | η凸函数 hermite-hadamard型不等式 分数阶积分 |
| url | https://doi.org/10.3785/j.issn.1008-9497.2018.05.006 |
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