Generalization of Bullen-Simpson's 3/8 inequality

被引：4
|
作者：
Matic, M
Pecaric, J
Vukelic, A
机构：
[1] Univ Split, Dept Math, FESB, Split 21000, Croatia
[2] Univ Zagreb, Fac Text Technol, Zagreb 41000, Croatia
[3] Univ Zagreb, Fac Food Technol & Biotechnol, Dept Math, Zagreb 41000, Croatia
来源：
MATHEMATICAL AND COMPUTER MODELLING | 2005年 / 41卷 / 4-5期
关键词：
Bullen-Simpson's 3/8 inequality; quadrature formulae; functions of bounded variation; Lipschitzian functions;
D O I：
10.1016/j.mcm.2004.06.019
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
Generalization of Bullen-Simpson's 3/8 inequality for (2r)-convex functions is given, by using some Euler-type identities. A number of inequalities, for functions whose derivatives are either functions of bounded variation or Lipschitzian functions or functions in L-p-spaces, are proved. (c) 2005 Elsevier Ltd. All rights reserved.
引用
收藏
页码：463 / 483
页数：21
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