On Some New Inequalities of Hermite-Hadamard Midpoint and Trapezoid Type for Preinvex Functions in p,q-Calculus

被引：7

作者：

Sial, Ifra Bashir ^{[1
]}

Ali, Muhammad Aamir ^{[2
]}

Murtaza, Ghulam ^{[3
]}

Ntouyas, Sotiris K. ^{[4
,5
]}

Soontharanon, Jarunee ^{[6
]}

Sitthiwirattham, Thanin ^{[7
]}

机构：

[1] Jiangsu Univ, Sch Math Sci, Zhenjiang 212013, Jiangsu, 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 54700, Pakistan

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

[5] King Abdulaziz Univ, Fac Sci, Dept Math, Nonlinear Anal & Appl Math NAAM Res Grp, Jeddah 21589, Saudi Arabia

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

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

来源：

SYMMETRY-BASEL | 2021年 / 13卷 / 10期

关键词：

Hermite-Hadamard inequality; (p; q)-integral; post quantum calculus; convex function; INTEGRAL-INEQUALITIES; CONVEX;

D O I：

10.3390/sym13101864

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

In this paper, we establish some new Hermite-Hadamard type inequalities for preinvex functions and left-right estimates of newly established inequalities for p,q-differentiable preinvex functions in the context of p,q-calculus. We also show that the results established in this paper are generalizations of comparable results in the literature of integral inequalities. Analytic inequalities of this nature and especially the techniques involved have applications in various areas in which symmetry plays a prominent role.

引用

页数：18

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