基于katugampola分数阶积分的Hermite-Hadamard型不等式  

Hermite-Hadamard Type Inequalities Based on Katugampola Fractional Integrals

作　　者：海旭冉 王淑红[1] HAI Xuran;WANG Shuhong(College of Mathematics and Physics,Inner Mongolia University for Nationalities,Tongliao 028000,China)

机构地区：[1]内蒙古民族大学数理学院,内蒙古通辽028000

出　　处：《湖北民族大学学报（自然科学版）》2021年第1期48-52,共5页Journal of Hubei Minzu University:Natural Science Edition

基　　金：内蒙古自治区自然科学基金项目(2019MS01007;2018MS01008);内蒙古民族大学博士科研启动基金项目(BS402).

摘　　要：分数阶微积分是应用数学的一个重要领域,在自然科学和工程技术等领域有着广泛的实际应用.基于katugampola分数阶积分,利用函数的拟凸性和一些经典不等式,建立了Hermite-Hadamard型不等式.当对参数ρ→1时取极限,就得到了Riemann-Liouville分数阶积分的相应结论.Fractional calculus is a field of applied mathematics and has practical applications and profound impact in science,engineering,mathematics,economics,and other fields.In this paper,based on Katugampola fractional integrals and by using quasi-convexity and some classical inequalities,the authors establish some new Hermite-Hadamard type inequalities.The obtained inequalities generalize the corresponding results for Riemann-Liouville fractional integrals by taking limits when a parameterρ→1.

关 键 词：katugampola分数阶积分 HERMITE-HADAMARD不等式 拟凸性 

分 类 号：O172[理学—数学]