| 摘要: |
| 本文研究了区间值函数的整合分数阶积分形式Hermite-Hadamard型不等式的问题.利用区间分析及区间h-凸函数理论，给出了区间值函数的整合分数阶积分概念，讨论了该积分的若干基本性质，并且得到了一类新的分数阶积分的Hermite-Hadamard型不等式，推广了文献[1–3]的结果. |
| 关键词: 整合分数阶积分 区间值函数 Hermite-Hadamard型不等式 |
| DOI： |
| 分类号:O178 |
| 基金项目:中央高校基本科研业务费专项资金资助（2019B44914），江苏省自然科学基金青年项目（BK20180500），国家重点研发计算资助（2018YFC1508100）. |
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| CONFORMABLE FRACTIONAL INTEGRALS HERMITE-HADAMARD TYPE INEQUALITIES FOR INTERVAL-VALUED FUNCTIONS |
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SHI Fang-fang1, YE Guo-ju1, LIU Wei1, ZHAO Da-fang2
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1.College of Science, Hehai University, Nanjing 210098, China;2.School of Mathematics and Statistics, Hubei Normal University, Huangshi 435002, China
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| Abstract: |
| In this paper, we study the problem of comformable fractional integrals for interval-valued functions in the form of Hermite-Hadamard type inequalities. Using interval analysis and the theory of interval h-convex functions, we give the concept of comformable fractional integrals for interval-valued functions, discuss some basic properties of these integrals, and obtain a new class of Hermite-Hadamard type inequalities for fractional integrals, which extend the results in [1-3]. |
| Key words: conformable fractional integral interval-valued function Hermite-Hadamard type inequalities |
