FRACTIONAL HERMITE-HADAMARD INEQUALITY, SIMPSON'S AND OSTROWSKI'S TYPE INEQUALITIES FOR CONVEX FUNCTIONS WITH RESPECT TO A PAIR OF FUNCTIONS

被引：0

作者：

Xie, Jianqiang ^{[1
]}

Ali, Muhammad Aamir ^{[2
]}

Budak, Huseyin ^{[3
]}

Feckan, Michal ^{[4
,5
]}

Sitthiwirattham, Thanin ^{[6
]}

机构：

[1] Anhui Univ, Sch Math Sci, Hefei, Peoples R China

[2] Nanjing Normal Univ, Sch Math Sci, Nanjing, Peoples R China

[3] Duzce Univ, Dept Math, Duzce, Turkiye

[4] Comenius Univ, Dept Math Anal & Numer Math, Bratislava, Slovakia

[5] Slovak Acad Sci, Math Inst, Bratislava, Slovakia

[6] Suan Dusit Univ, Dept Math, Bangkok, Thailand

来源：

ROCKY MOUNTAIN JOURNAL OF MATHEMATICS | 2023年 / 53卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Hermite-Hadamard inequality; Simpson's inequality; Ostrowski's inequality; fractional calculus; (g; h)-convex functions;

D O I：

10.1216/rmj.2023.53.611

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider the convexity with respect to a pair of functions and establish a Hermite-Hadamard type inequality for Riemann-Liouville fractional integrals. Moreover, we derive some new Simpson's and Ostrowski's type inequalities for differentiable convex mapping with respect to a pair of functions. We also show that the newly established inequalities are the extension of some existing inequalities. Finally, we consider some mathematical examples and graphs to show the validity of the newly established inequalities.

引用

页码：611 / 628

页数：18

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