Some Ostrowski-Gruss type inequalities and applications

被引：31
|
作者：
Liu, Zheng [1 ]
机构：
[1] Univ Sci & Technol, Sch Sci, Inst Appl Math, Anshan 114051, Liaoning, Peoples R China
来源：
COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2007年 / 53卷 / 01期
关键词：
Ostrowski-Gruss type inequality; Lipschitzian type function; function of bounded variation; probability density function; cumulative distribution function;
D O I：
10.1016/j.camwa.2006.12.021
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
New generalizations of Ostrowski-Gruss type inequalities for functions of Lipschitzian type are established. Applications for cumulative distribution functions are given. (c) 2007 Published by Elsevier Ltd
引用
收藏
页码：73 / 79
页数：7
相关论文
共 50 条
  • [31] Gruss and Ostrowski type inequalities
    Niezgoda, Marek
    APPLIED MATHEMATICS AND COMPUTATION, 2011, 217 (23) : 9779 - 9789
  • [32] A GENERALIZATION OF THE OSTROWSKI-GRUSS INEQUALITY
    Masjed-Jamei, Mohammad
    Dragomir, Sever S.
    ANALYSIS AND APPLICATIONS, 2014, 12 (02) : 117 - 130
  • [33] ON THE OSTROWSKI-GRUSS TYPE INEQUALITY FOR TWICE DIFFERENTIABLE FUNCTIONS
    Ozdemir, M. Emin
    Akdemir, Ahmet Ocak
    Set, Erhan
    HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, 2012, 41 (05): : 651 - 655
  • [34] New version of generalized Ostrowski-Gruss type inequality
    Bilal, Muhammad
    Irshad, Nazia
    Khan, Asif R.
    STUDIA UNIVERSITATIS BABES-BOLYAI MATHEMATICA, 2021, 66 (03): : 441 - 455
  • [35] A NEW GENERALIZATION OF OSTROWSKI-GRUSS TYPE INEQUALITIES INVOLVING FUNCTIONS OF TWO INDEPENDENT VARIABLES
    Xue, Qiaoling
    Wang, Shunfeng
    Liu, Wenjun
    MISKOLC MATHEMATICAL NOTES, 2011, 12 (02) : 265 - 272
  • [36] A generalized Ostrowski-Gruss type inequality for bounded differentiable mappings and its applications
    Hussain, Sabir
    Qayyum, Ather
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2013,
  • [37] Improvement of Gruss and Ostrowski Type Inequalities
    Acu, Ana Maria
    FILOMAT, 2015, 29 (09) : 2027 - 2035
  • [38] OSTROWSKI-GRUSS TYPE INEQUALITIES AND A 2D OSTROWSKI TYPE INEQUALITY ON TIME SCALES INVOLVING A COMBINATION OF Δ-INTEGRAL MEANS
    Kermausuor, Seth
    Nwaeze, Eze R.
    KRAGUJEVAC JOURNAL OF MATHEMATICS, 2020, 44 (01): : 127 - 143
  • [39] WEIGHTED OSTROWSKI AND GRUSS TYPE INEQUALITIES
    Pecaric, Josip
    Penava, Mihaela Ribicic
    JOURNAL OF INEQUALITIES AND SPECIAL FUNCTIONS, 2020, 11 (01): : 12 - 23
  • [40] HARMONIC POLYNOMIALS AND GENERALIZATIONS OF OSTROWSKI-GRUSS TYPE INEQUALITY AND TAYLOR FORMULA
    Awan, K. M.
    Pecaric, J.
    Vukelic, A.
    JOURNAL OF MATHEMATICAL INEQUALITIES, 2015, 9 (01): : 297 - 319
12345