p-凸函数的Hermite-Hadamard型积分不等式OA
Integral Inequalities of Hermite-Hadamard Type for p-Convex Functions
凸函数是一类重要的函数,与凸函数相关的不等式在数学基础理论及应用研究中具有极其重要的作用.对p-凸函数的Hermite-Hadamard型积分不等式进行了研究,先建立一个新的积分恒等式,再利用该恒等式与赫尔德(Hölder)不等式,最终得到若干新的不等式结果.
Convex functions are an important class of functions.Inequalities related to convex functions play an ex-tremely vital role in basic mathematical theories and applied research.This paper studies the Hermite-Hadamard type integral inequalities for p-convex functions.It first establishes a new integral identity,and then obtains several new in-equality results by combining this identity with Hölder's inequality.
双叶
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p-凸函数Hermite-Hadamard型积分不等式
convex functionp-convex functionHermite-Hadamard type integral inequalities
《内蒙古民族大学学报（自然科学版）》 2026 (4)
68-72,5
内蒙古自治区自然科学基金项目(2024LHMS01014)
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