局部分数阶积分下带有参数的Ostrowski型不等式  

Ostrowski Type Inequalities with Parameter Via Local Fractional Integral

作　　者：时统业[1] 曾志红 SHI Tongye;ZENG Zhihong(PLA Naval Command College, Nanjing 211800, China;Editorial Department of Journal, Guangdong University of Education, Guangzhou 510303, China)

机构地区：[1]海军指挥学院,江苏南京 211800 [2]广东第二师范学院学报编辑部,广东广州 510303

出　　处：《湖南理工学院学报（自然科学版）》2019年第2期1-9,共9页Journal of Hunan Institute of Science and Technology(Natural Sciences)

摘　　要：通过建立关于局部分数阶积分的恒等式,利用广义凸函数的定义和广义H?lder不等式,分别在|f^(α)|是广义凸函数和|f^(α)|q是第二种意义下广义s-凸函数的情况下,得到了一些Ostrowski型不等式.By establishing an identity involving local fractional integral, using the definition of generalized convex functions and generalized H?lder inequality, some Ostrowski type inequalities were obtained in the case of | f^(a)| being generalized convex function and |f^(a)|q being generalized s-convex function in the second sense, respectively.

关 键 词：局部分数阶积分 Ostrowski型不等式 广义凸函数 第二种意义下的广义s -凸函数 广义Hölder不等式 

分 类 号：O178[理学—数学]