More results on Simpson's type inequality through convexity for twice differentiable continuous mappings

被引：23

作者：

Hussain, Sabir ^{[1
]}

Qaisar, Shahid ^{[2
]}

机构：

[1] Qassim Univ, Coll Sci, Dept Math, POB 6644, Buraydah 51452, Saudi Arabia

[2] COMSATS Inst Informat Technol, Dept Math, Sahiwal, Pakistan

来源：

SPRINGERPLUS | 2016年 / 5卷

关键词：

Simpson's inequality; Strongly s-convex function; Integral identity; Holder's integral inequality;

D O I：

10.1186/s40064-016-1683-x

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：

Our aim in this article is to incorporate the notion of "strongly s-convex function" and prove a new integral identity. Some new inequalities of Simpson type for strongly s-convex function utilizing integral identity and Holder's inequality are considered.

引用

页码：1 / 9

页数：9

共 16 条

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Qaisar, Shahid
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[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2010, 60 (08) : 2191 - 2199
[15] Wang Y, 2013, FACTA UNIV-SER MATH, V28, P151
[16] Xi Bo-Yan, 2013, Advanced Studies in Contemporary Mathematics, V23, P559

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