SOME NEW OSTROWSKI AND GRUSS TYPE INEQUALITIES

被引:1
|
作者
Pachpatte, B. G.
机构
[1] Aurangabad 431 001 (Maharashtra), Near Abhinay Talkies
来源
TAMKANG JOURNAL OF MATHEMATICS | 2007年 / 38卷 / 02期
关键词
Ostrowski and Gruss type inequalities; twice differentiable functions; integral identities; properties of modulus;
D O I
10.5556/j.tkjm.38.2007.82
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper we establish some new inequalities of Ostrowski and Gruss type, involving three functions whose second derivatives are bounded. The analysis used in the proofs is fairly elementary and based on the integral identities for twice differentiable functions.
引用
收藏
页码:111 / 120
页数:10
相关论文
共 50 条
  • [1] Gruss and Ostrowski type inequalities
    Niezgoda, Marek
    APPLIED MATHEMATICS AND COMPUTATION, 2011, 217 (23) : 9779 - 9789
  • [2] Generalizations of some inequalities of Ostrowski-Gruss type
    Pearce, CEM
    Pecaric, J
    Ujevic, N
    Varosanec, S
    MATHEMATICAL INEQUALITIES & APPLICATIONS, 2000, 3 (01): : 25 - 34
  • [3] Some Ostrowski-Gruss type inequalities and applications
    Liu, Zheng
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2007, 53 (01) : 73 - 79
  • [4] Improvement of some Ostrowski-Gruss type inequalities
    Cheng, XL
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2001, 42 (1-2) : 109 - 114
  • [5] NEW FRACTIONAL INEQUALITIES OF OSTROWSKI-GRUSS TYPE
    Sarikaya, M. Zeki
    Yaldiz, H.
    Basak, N.
    MATEMATICHE, 2014, 69 (01): : 227 - 235
  • [6] A unified approach to some inequalities of Ostrowski-Gruss type
    Yang, SJ
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2006, 51 (6-7) : 1047 - 1056
  • [7] Improvement of Gruss and Ostrowski Type Inequalities
    Acu, Ana Maria
    FILOMAT, 2015, 29 (09) : 2027 - 2035
  • [8] NEW INEQUALITIES OF OSTROWSKI AND GRUSS TYPE FOR TRIPLE INTEGRALS
    Pachpatte, B. G.
    TAMKANG JOURNAL OF MATHEMATICS, 2009, 40 (02): : 117 - 127
  • [9] WEIGHTED OSTROWSKI AND GRUSS TYPE INEQUALITIES
    Pecaric, Josip
    Penava, Mihaela Ribicic
    JOURNAL OF INEQUALITIES AND SPECIAL FUNCTIONS, 2020, 11 (01): : 12 - 23
  • [10] Some generalized Ostrowski-Gruss type integral inequalities
    Feng, Qinghua
    Meng, Fanwei
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2012, 63 (03) : 652 - 659