SIMPSON'S AND NEWTON'S TYPE QUANTUM INTEGRAL INEQUALITIES FOR PREINVEX FUNCTIONS

被引：3
|
作者：
Ali, Muhammad Aamir [1 ]
Abbas, Mujahid [2 ]
Sehar, Mubarra [2 ]
Murtaza, Ghulam [3 ]
机构：
[1] Nanjing Normal Univ, Sch Math Sci, Jiangsu Key Lab NSLSCS, Nanjing, Peoples R China
[2] Govt Coll Univ, Dept Math, Lahore 54000, Pakistan
[3] Univ Management & Technol, Dept Math SSC, Lahore, Pakistan
来源：
KOREAN JOURNAL OF MATHEMATICS | 2021年 / 29卷 / 01期
关键词：
Simpson's inequalities; q-integral; q-derivative; preinvex function; HERMITE-HADAMARD INEQUALITIES; MIDPOINT-TYPE INEQUALITIES; CONVEX;
D O I：
10.11568/kjm.2021.29.1.193
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this research, we offer two new quantum integral equalities for recently defined q(epsilon 2)-integral and derivative, the derived equalities then used to prove quantum integral inequalities of Simpson's and Newton's type for preinvex functions. We also considered the special cases of established results and offer several new and existing results inside the literature of Simpson's and Newton's type inequalities.
引用
收藏
页码：193 / 209
页数：17
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