Multivariate Fink type identity and multivariate Ostrowski, comparison of means and Gruss type inequalities

被引：4
|
作者：
Anastassiou, George A. [1 ]
机构：
[1] Univ Memphis, Dept Math Sci, Memphis, TN 38152 USA
来源：
MATHEMATICAL AND COMPUTER MODELLING | 2007年 / 46卷 / 3-4期
关键词：
multivariate Fink type identity; multivariate Ostrowski type inequality; multivariate comparison of means; multivariate Gruss type inequality;
D O I：
10.1016/j.mcm.2006.11.008
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
We develop and establish a general multivariate Fink type identity which is a representation formula for a multivariate function. Using it we derive general tight multivariate high order Ostrowski type, comparison of means and Gruss type inequalities. The estimates involve L-p norms, for any 1 <= p <= infinity. (C) 2006 Elsevier Ltd. All rights reserved.
引用
收藏
页码：351 / 374
页数：24
相关论文
共 50 条
  • [41] Dynamic inequalities of Gruss, Ostrowski and Trapezoid type via diamond-α integrals and Montgomery identity
    Tharwat, Marwa M.
    Ahmed, Marwa M.
    Nosheen, Ammara
    Khan, Khuram Ali
    Shahzadi, Iram
    Baleanu, Dumitru
    El-Deeb, Ahmed A.
    AIMS MATHEMATICS, 2024, 9 (05): : 12778 - 12799
  • [42] Chebyshev-Gruss type inequalities via Euler type and Fink identities
    Anastassiou, George A.
    MATHEMATICAL AND COMPUTER MODELLING, 2007, 45 (9-10) : 1189 - 1200
  • [43] Some generalized Ostrowski-Gruss type integral inequalities
    Feng, Qinghua
    Meng, Fanwei
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2012, 63 (03) : 652 - 659
  • [44] Taylor-Widder representation formulae and Ostrowski, Gruss, integral means and Csiszar type inequalities
    Anastassiou, George A.
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2007, 54 (01) : 9 - 23
  • [45] On some dynamic inequalities of Ostrowski, trapezoid, and Gruss type on time scales
    El-Deeb, Ahmed A.
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2022, 2022 (01)
  • [46] New Ostrowski-Gruss type inequalities with the derivatives bounded by functions
    Feng, Qinghua
    Meng, Fanwei
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2013,
  • [47] Some integral inequalities of Simpson-like type, Ostrowski-like type and Ostrowski-Gruss-like type
    Park, Jaekeun
    INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS & STATISTICS, 2013, 42 (12): : 241 - 248
  • [48] SOME INEQUALITIES OF OSTROWSKI AND GRUSS TYPE FOR TRIPLE INTEGRALS ON TIME SCALES
    Mir, Nazir Ahmad
    Ullah, Roman
    TAMKANG JOURNAL OF MATHEMATICS, 2011, 42 (04): : 415 - 426
  • [49] Multivariate Montgomery identities and Ostrowski inequalities
    Anastassiou, GA
    NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2002, 23 (3-4) : 247 - 263
  • [50] Ando-Hiai type inequalities for multivariate operator means
    Hiai, Fumio
    Seo, Yuki
    Wada, Shuhei
    LINEAR & MULTILINEAR ALGEBRA, 2019, 67 (11): : 2253 - 2281
12345