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

[1]

Alomari M., 2009, RGMIA Res. Rep. Collect, V12, P9

[2] SOME INEQUALITIES OF HERMITE-HADAMARD TYPE FOR s-CONVEX FUNCTIONS [J].

Alomari, Mohammad W. ;

Darus, Maslina ;

Kirmaci, Ugur S. .

ACTA MATHEMATICA SCIENTIA, 2011, 31 (04) :1643-1652

[3] ON STRONGLY h-CONVEX FUNCTIONS [J].

Angulo, Hiliana ;

Gimenez, Jose ;

Moros, Ana Milena ;

Nikodem, Kazimierz .

ANNALS OF FUNCTIONAL ANALYSIS, 2011, 2 (02) :85-91

[4] On Simpson's inequality and applications [J].

Dragomir, SS ;

Agarwal, RP ;

Cerone, P .

JOURNAL OF INEQUALITIES AND APPLICATIONS, 2000, 5 (06) :533-579

[5]

Dragomir SS, 1999, SOOCHOW J MATH, V2, P175

[6]

Hudzik H., 1994, Aequationes Math., V48, P100, DOI DOI 10.1007/BF01837981

[7]

Hussain S, 2014, PUNJAB UNIV J MATH, V46, P1

[8] An inequality of Simpson type [J].

Liu, Z .

PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2005, 461 (2059) :2155-2158

[9] Inequalities for differentiable mappings with application to special means and quadrature formulae [J].

Pearce, CEM ;

Pecaric, J .

APPLIED MATHEMATICS LETTERS, 2000, 13 (02) :51-55

[10]

Polyak B.T., 1996, Sov. Dokl. Math, V7, P72

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