Post-quantum Simpson's type inequalities for coordinated convex functions

被引：1

作者：

You, Xue-Xiao ^{[1
]}

Ali, Muhammad Aamir ^{[2
]}

Murtaza, Ghulam ^{[3
]}

Chasreechai, Saowaluck ^{[4
]}

Ntouyas, Sotiris K. ^{[5
,6
]}

Sitthiwirattham, Thanin ^{[7
]}

机构：

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

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

[3] Univ Management & Technol, Dept Math, Lahore, Pakistan

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

[5] Univ Ioannina, Dept Math, Ioannina 45110, Greece

[6] King Abdulaziz Univ, Nonlinear Anal & Appl Math NiAM Res Grp, Dept Math, Fac Sci, POB 80203, Jeddah 21589, Saudi Arabia

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

来源：

AIMS MATHEMATICS | 2021年 / 7卷 / 02期

关键词：

Simpson's inequalities; (p; q)-integrals; post quantum calculus; co-ordinated convexity; MIDPOINT-TYPE INEQUALITIES; HERMITE-HADAMARD INEQUALITIES;

D O I：

10.3934/math.2022172

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we prove some new Simpson's type inequalities for partial (p, q)-differentiable convex functions of two variables in the context of (p, q)-calculus. We also show that the findings in this paper are generalizations of comparable findings in the literature.

引用

页码：3097 / 3132

页数：36

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