Some inequalities for differentiable convex mapping with application to weighted trapezoidal formula and higher moments of random variables

被引：32

作者：

Hwang, Dah-Yan ^{[1
]}

机构：

[1] Technol & Sci Inst No Taiwan, Dept Informat & Management, Taipei 11271, Taiwan

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2011年 / 217卷 / 23期

关键词：

Hermite-Hadamard inequality; Convex function; Wright-convex function; Quasi-convex function; Integral inequalities; Trapezoidal formula; REAL NUMBERS; MIDPOINT FORMULA;

D O I：

10.1016/j.amc.2011.04.036

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Several inequalities for differentiable convex, wright-convex and quasi-convex mapping are obtained respectively that are connected with the celebrated Hermite-Hadamard integral inequality. Also, some error estimates for weighted Trapezoid formula and higher moments of random variables are given. (C) 2011 Elsevier Inc. All rights reserved.

引用

页码：9598 / 9605

页数：8

共 10 条

[1] Refinements of Hadamard-type inequalities for quasi-convex functions with applications to trapezoidal formula and to special means [J].

Alomari, M. ;

Darus, M. ;

Kirmaci, U. S. .

COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2010, 59 (01) :225-232

[2]

[Anonymous], 1991, CONVEX FUNCTION PART

[3] 2 MAPPINGS IN CONNECTION TO HADAMARDS INEQUALITIES [J].

DRAGOMIR, SS .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1992, 167 (01) :49-56

[4] Two inequalities for differentiable mappings and applications to special means of real numbers and to trapezoidal formula [J].

Dragomir, SS ;

Agarwal, RP .

APPLIED MATHEMATICS LETTERS, 1998, 11 (05) :91-95

[5] Inequalities of Hadamard's type for Lipschitzian mappings and their applications [J].

Dragomir, SS ;

Cho, YJ ;

Kim, SS .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2000, 245 (02) :489-501

[6] On some inequalities for differentiable mappings and applications to special means of real numbers and to midpoint formula [J].

Kirmaci, US ;

Özdemir, ME .

APPLIED MATHEMATICS AND COMPUTATION, 2004, 153 (02) :361-368

[7] Inequalities for differentiable mappings and applications to special means of real numbers and to midpoint formula [J].

Kirmaci, US .

APPLIED MATHEMATICS AND COMPUTATION, 2004, 147 (01) :137-146

[8] A theorem on mappings with bounded derivatives with applications to quadrature rules and means [J].

Özdemir, ME .

APPLIED MATHEMATICS AND COMPUTATION, 2003, 138 (2-3) :425-434

[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]

Yang GS, 2004, COMPUT MATH APPL, V47, P207, DOI [10.1016/S0898-1221(04)90017-X, 10.1016/S0898-1221(04)00005-7]

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