Some Generalized Fractional Integral Inequalities for Convex Functions with Applications

被引：5

作者：

Zhao, Dafang ^{[1
,2
]}

Ali, Muhammad Aamir ^{[3
]}

Promsakon, Chanon ^{[4
]}

Sitthiwirattham, Thanin ^{[5
]}

机构：

[1] Hubei Normal Univ, Sch Math & Stat, Huangshi 435002, Hubei, Peoples R China

[2] Chinese Acad Sci, Northwest Inst Ecoenvironm & Resources, Lanzhou 730000, Peoples R China

[3] Nanjing Normal Univ, Sch Math Sci, Jiangsu Key Lab NSLSCS, Nanjing 210023, Peoples R China

[4] King Mongkuts Univ Technol North Bangkok, Fac Sci Appl, Dept Math, Bangkok 10800, Thailand

[5] Suan Dusit Univ, Fac Sci & Technol, Dept Math, Bangkok 10300, Thailand

来源：

FRACTAL AND FRACTIONAL | 2022年 / 6卷 / 02期

基金：

湖北省教育厅重点项目;

关键词：

midpoint inequalities; trapezoid inequalities; Simpson's inequalities; fractional calculus; convex functions;

D O I：

10.3390/fractalfract6020094

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we establish a generalized fractional integrals identity involving some parameters and differentiable functions. Then, we use the newly established identity and prove different generalized fractional integrals inequalities like midpoint inequalities, trapezoidal inequalities and Simpson's inequalities for differentiable convex functions. Finally, we give some applications of newly established inequalities in the context of quadrature formulas.

引用

页数：20

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