s-调和算术凸函数的H-H-F型积分不等式OA
H-H-F Type Integral Inequalities for s-Harmonically Arithmetic Convex Functions
以探究s-调和算术凸函数 H-H-F 型积分不等式的新形式及拓展方向为研究目的,依托调和算术凸函数固有基本性质,针对调和算术凸函数的 H-H-F 型积分不等式进行研究.采用逻辑推导与数理运算相结合的研究方法,推导出新的关于调和算术凸函数的 H-H-F 型积分不等式,完善了该类不等式的理论.
Based on the inherent fundamental properties of harmonically arithmetic convex functions,this paper aims to explore new forms and extension directions of Hermite-Hadamard-Fejér(H-H-F)type integral inequalities for s-harmonically arithmetic convex functions.Combining logical deduction and mathematical operation,new H-H-F type integral inequalities concerning harmonically arithmetic convex functions are derived.This study improves the theoretical system of such inequalities.
冀爱萍;张天宇
内蒙古民族大学 数学科学学院,内蒙古 通辽 028043内蒙古民族大学 数学科学学院,内蒙古 通辽 028043
数理科学
凸函数s-调和算术凸函数H-H-F型积分不等式
convex functionss-harmonically arithmetic convex functionsH-H-F type integral inequalities
《内蒙古民族大学学报（自然科学版）》 2026 (4)
73-78,6
内蒙古自治区科技厅一般联合基金项目(2025LHMS01003)
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