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

被引：24

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

[11]

Qaisar S, 2014, INT J ANAL APPL, V5, P115

[12] A generalizations of Simpson's type inequality for differentiable functions using (α, m)-convex functions and applications [J].

Qaisar, Shahid ;

He, Chuanjiang ;

Hussain, Sabir .

JOURNAL OF INEQUALITIES AND APPLICATIONS, 2013,

[13] Some integral inequalities of Simpson type for GA-ε-convex functions [J].

Qi, Feng ;

Xi, Bo-Yan .

GEORGIAN MATHEMATICAL JOURNAL, 2013, 20 (04) :775-788

[14] On new inequalities of Simpson's type for s-convex functions [J].

Sarikaya, Mehmet Zeki ;

Set, Erhan ;

Ozdemir, M. Emin .

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

← 1 2 →