NEW WEIGHTED OSTROWSKI TYPE INEQUALITIES FOR MAPPINGS WHOSE nTH DERIVATIVES ARE OF BOUNDED VARIATION

被引:0
|
作者
Budak, Huseyin [1 ]
Erden, Samet [2 ]
Sarikaya, M. Zeki [1 ]
机构
[1] Duzce Univ, Fac Sci, Dept Math, Konuralp Campus, Duzce, Turkey
[2] Bartin Univ, Fac Sci, Dept Math, Bartin, Turkey
来源
关键词
Ostrowski inequality; function of bounded variation; Riemann-Stieltjes integral; random variable;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We establish a new generalization of weighted Ostrowski type inequality for mappings of bounded variation. Spacial cases of this inequality reduce some well known inequalities. With the help of obtained inequality, we give applications for the kth moment of random variables.
引用
收藏
页码:71 / 79
页数:9
相关论文
共 50 条
  • [1] NEW REFINEMENTS AND APPLICATIONS OF OSTROWSKI TYPE INEQUALITIES FOR MAPPINGS WHOSE nth DERIVATIVES ARE OF BOUNDED VARIATION
    Budak, H.
    Sarikaya, M. Z.
    Qayyum, A.
    TWMS JOURNAL OF APPLIED AND ENGINEERING MATHEMATICS, 2021, 11 (02): : 424 - 435
  • [2] Improvement in Companion of Ostrowski Type Inequalities for Mappings Whose First Derivatives are of Bounded Variation and Applications
    Budak, Huseyin
    Sarikaya, Mehmet Zeki
    Qayyum, Ather
    FILOMAT, 2017, 31 (16) : 5305 - 5314
  • [3] Generalizations of weighted Ostrowski type inequalities for mappings of bounded variation and their applications
    Tseng, Kuei-Lin
    Hwang, Shiow Ru
    Dragomir, S. S.
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2008, 55 (08) : 1785 - 1793
  • [4] A New Generalization of Ostrowski Type Inequalities for Mappings of Bounded Variation
    Budak H.
    Sarikaya M.Z.
    Lobachevskii Journal of Mathematics, 2018, 39 (9) : 1320 - 1326
  • [5] SOME PERTURBED OSTROWSKI TYPE INEQUALITIES FOR FUNCTIONS WHOSE FIRST DERIVATIVES ARE OF BOUNDED VARIATION
    Budak, Huseyin
    Sarikaya, Mehmet Zeki
    INTERNATIONAL JOURNAL OF ANALYSIS AND APPLICATIONS, 2016, 11 (02): : 146 - 156
  • [6] Weighted ostrowski integral inequalities for mappings whose derivatives belong to LP(a, b)
    Hwang, Shiow-Ru
    Hsu, Kai-Chen
    Tseng, Kuei-Lin
    APPLIED MATHEMATICS AND COMPUTATION, 2013, 219 (17) : 9516 - 9523
  • [7] On generalization of weighted Ostrowski type inequalities for functions of bounded variation
    Budak, Huseyin
    Sarikaya, Mehmet Zeki
    ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, 2018, 11 (04)
  • [8] Another generalization of weighted Ostrowski type inequality for mappings of bounded variation
    Liu, Zheng
    APPLIED MATHEMATICS LETTERS, 2012, 25 (03) : 393 - 397
  • [9] WEIGHTED OSTROWSKI INTEGRAL INEQUALITY FOR MAPPINGS OF BOUNDED VARIATION
    Tseng, Kuei-Lin
    Hwang, Shiow-Ru
    Yang, Gou-Sheng
    Chou, Yi-Ming
    TAIWANESE JOURNAL OF MATHEMATICS, 2011, 15 (02): : 573 - 585
  • [10] Weighted Ostrowski's Type Integral Inequalities for Mapping Whose First Derivative Is Bounded
    Fahad, S.
    Mustafa, M. A.
    Ullah, Z.
    Hussain, T.
    Qayyum, A.
    INTERNATIONAL JOURNAL OF ANALYSIS AND APPLICATIONS, 2022, 20