内蒙古民族大学学报(自然科学版)2026,Vol.41Issue(4):68-72,5.DOI:10.14045/j.cnki.15-1220.2026.04.009
p-凸函数的Hermite-Hadamard型积分不等式
Integral Inequalities of Hermite-Hadamard Type for p-Convex Functions
摘要
Abstract
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.关键词
凸函数/p-凸函数/Hermite-Hadamard型积分不等式Key words
convex function/p-convex function/Hermite-Hadamard type integral inequalities分类
数理科学引用本文复制引用
双叶..p-凸函数的Hermite-Hadamard型积分不等式[J].内蒙古民族大学学报(自然科学版),2026,41(4):68-72,5.基金项目
内蒙古自治区自然科学基金项目(2024LHMS01014) (2024LHMS01014)