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s-调和算术凸函数的H-H-F型积分不等式

冀爱萍 张天宇

内蒙古民族大学学报(自然科学版)2026,Vol.41Issue(4):73-78,6.
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内蒙古民族大学学报(自然科学版)2026,Vol.41Issue(4):73-78,6.DOI:10.14045/j.cnki.15-1220.2026.04.010

s-调和算术凸函数的H-H-F型积分不等式

H-H-F Type Integral Inequalities for s-Harmonically Arithmetic Convex Functions

冀爱萍 1张天宇1

作者信息

  • 1. 内蒙古民族大学 数学科学学院,内蒙古 通辽 028043
  • 折叠

摘要

Abstract

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.

关键词

凸函数/s-调和算术凸函数/H-H-F型积分不等式

Key words

convex functions/s-harmonically arithmetic convex functions/H-H-F type integral inequalities

分类

数理科学

引用本文复制引用

冀爱萍,张天宇..s-调和算术凸函数的H-H-F型积分不等式[J].内蒙古民族大学学报(自然科学版),2026,41(4):73-78,6.

基金项目

内蒙古自治区科技厅一般联合基金项目(2025LHMS01003) (2025LHMS01003)

内蒙古民族大学学报(自然科学版)

1671-0185

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