SOME EXTENDED SIMPSON-TYPE INEQUALITIES AND APPLICATIONS

被引：0

作者：

Hsu, K. -C ^{[1
]}

Hwang, S. -R. ^{[2
]}

Tseng, K. -L. ^{[3
]}

机构：

[1] Aletheia Univ, Dept Business Adm, New Taipei 25103, Taiwan

[2] China Univ Sci & Technol, Taipei 11522, Taiwan

[3] Aletheia Univ, Dept Appl Math, New Taipei 25103, Taiwan

来源：

BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY | 2017年 / 43卷 / 02期

关键词：

Hermite-Hadamard inequality; Simpson inequality; midpoint inequality; trapezoid inequality; convex function; concave functions; special means; quadrature rules; DIFFERENTIABLE MAPPINGS; REAL NUMBERS;

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, we shall establish some extended Simpson-type inequalities for differentiable convex functions and differentiable concave functions which are connected with Hermite-Hadamard inequality. Some error estimates for the midpoint, trapezoidal and Simpson formula are also given.

引用

页码：409 / 425

页数：17

共 16 条

[1] On The Hadamard's Inequality for Log-Convex Functions on the Coordinates
Alomari, Mohammad
Darus, Maslina
[J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2009,
[2] [Anonymous], MAT NATURWISS ANZ UN
[3] On the Hadamard's inequality for convex functions on the co-ordinates in a rectangle from the plane
Dragomir, SS
[J]. TAIWANESE JOURNAL OF MATHEMATICS, 2001, 5 (04): : 775 - 788
[4] 2 MAPPINGS IN CONNECTION TO HADAMARDS INEQUALITIES
DRAGOMIR, SS
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1992, 167 (01) : 49 - 56
[5] Two inequalities for differentiable mappings and applications to special means of real numbers and to trapezoidal formula
Dragomir, SS
Agarwal, RP
[J]. APPLIED MATHEMATICS LETTERS, 1998, 11 (05) : 91 - 95
[6] On Simpson's inequality and applications
Dragomir, SS
Agarwal, RP
Cerone, P
[J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2000, 5 (06) : 533 - 579
[7] Inequalities of Hadamard's type for Lipschitzian mappings and their applications
Dragomir, SS
Cho, YJ
Kim, SS
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2000, 245 (02) : 489 - 501
[8] Fejr L., 1906, Anz Ungar. Akad. Wiss., V24, P369
[9] On some inequalities for differentiable mappings and applications to special means of real numbers and to midpoint formula
Kirmaci, US
Özdemir, ME
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2004, 153 (02) : 361 - 368
[10] Inequalities for differentiable mappings and applications to special means of real numbers and to midpoint formula
Kirmaci, US
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2004, 147 (01) : 137 - 146

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