Simpson's Second Type Integral Inequalities for Twice Differentiable Convex Functions

被引：0
|
作者：
Iftikhar, Sabah [1 ]
Uche, Ugochukwu David [2 ]
机构：
[1] King Mongkuts Univ Technol Thonburi KMUTT, KMUTT Fixed Point Theory & Applicat Res Grp, KMUTT Fixed Point Res Lab, SCL 802 Fixed Point Lab,Dept Math,Fac Sci, 126 Pracha Uthit Rd, Bangkok 10140, Thailand
[2] Natl Math Ctr Abuja, Math Programme, Kaduna Lokoja Rd, Abuja, Nigeria
来源：
THAI JOURNAL OF MATHEMATICS | 2021年 / 19卷 / 03期
关键词：
Simpson's type inequality; Integral inequalities; phi-convex functions; Special means;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, the authors used a new auxiliary integral identity involving twice differentiable function based on a three step quadratic kernel omega(s) and obtained several new integral inequalities of Simpson's 3/8 type for functions whose second derivative absolute value power q are phi-convex and phi-quasiconvex function via Hlder's and power mean inequality. Then we also obtain some Simpson's second type integral inequalities as special cases of our main results and also provided some applications to special means.
引用
收藏
页码：766 / 783
页数：18
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