Improvement and further generalization of inequalities of Ostrowski-Gruss type

被引:72
作者
Matic, M
Pecaric, J
Ujevic, N
机构
[1] Univ Split, Dept Math, FESB, Split 21000, Croatia
[2] Univ Zagreb, Fac Textile Technol, Zagreb 10000, Croatia
关键词
Ostrowski's inequality; Gruss' inequality; numerical quadrature rules;
D O I
10.1016/S0898-1221(99)00342-9
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We improve some inequalities of Ostrowski-Gruss type and further generalize them. We apply the obtained results to the estimation of error bounds for some numerical quadrature rules. Also, some bounds for the differences of some special means are discussed. (C) 2000 Elsevier Science Ltd. All rights reserved.
引用
收藏
页码:161 / 175
页数:15
相关论文
共 6 条
  • [1] [Anonymous], 1988, Means and Their Inequalities
  • [2] [Anonymous], CLASSICAL NEW INEQUA
  • [3] Cerone P, 1998, RGMIA RES REPORT COL, V1
  • [4] CERONE P, UNPUB INEQUALITY OST
  • [5] DRAGOMIR SS, 1997, COMPUT MATH APPL, V33, P16
  • [6] Mitrinovic DS, 1991, INEQUALITIES INVOLVI