Companion inequalities to Ostrowski-Gruss type inequality and applications

被引:4
|
作者
Awan, Khalid Mahmood [1 ]
Pecaric, Josip [2 ]
Penava, Mihaela Ribicic [3 ]
机构
[1] Univ Sargodha, Dept Math, Sargodha, Pakistan
[2] Univ Zagreb, Fac Text Technol, Zagreb 41000, Croatia
[3] Univ Osijek, Dept Math, Osijek, Croatia
关键词
Chebyshev functional; Ostrowski-Gruss type inequality;
D O I
10.3906/mat-1404-27
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The aim of this paper is to give some companion inequalities to the Ostrowski-Gruss type inequality for n-time differentiable absolutely continuous functions by using recently obtained bounds for the Chebyshev functional.
引用
收藏
页码:228 / 234
页数:7
相关论文
共 50 条
  • [21] On weighted Ostrowski type, Trapezoid type, Gruss type and Ostrowski-Gruss like inequalities on time scales
    Liu, Wenjun
    Tuna, Adnan
    Jiang, Yong
    APPLICABLE ANALYSIS, 2014, 93 (03) : 551 - 571
  • [22] 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
  • [23] Improvement and further generalization of inequalities of Ostrowski-Gruss type
    Matic, M
    Pecaric, J
    Ujevic, N
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2000, 39 (3-4) : 161 - 175
  • [24] Some generalized Ostrowski-Gruss type integral inequalities
    Feng, Qinghua
    Meng, Fanwei
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2012, 63 (03) : 652 - 659
  • [25] NEW WEIGHTED OSTROWSKI AND OSTROWSKI-GRUSS TYPE INEQUALITIES ON TIME SCALES
    Liu, Wenjun
    Tuna, Adnan
    Jiang, Yong
    ANALELE STIINTIFICE ALE UNIVERSITATII AL I CUZA DIN IASI-SERIE NOUA-MATEMATICA, 2014, 60 (01): : 57 - 76
  • [26] A new inequality of Ostrowski-Gruss type and applications to some numerical quadrature rules
    Niezgoda, Marek
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2009, 58 (03) : 589 - 596
  • [27] A generalized Ostrowski-Gruss type inequality for bounded differentiable mappings and its applications
    Hussain, Sabir
    Qayyum, Ather
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2013,
  • [28] Weighted Ostrowski, Ostrowski-Gruss and Ostrowski-Cebysev type inequalities on time scales
    Tuna, Adnan
    Jiang, Yong
    Liu, Wenjun
    PUBLICATIONES MATHEMATICAE-DEBRECEN, 2012, 81 (1-2): : 81 - 102
  • [29] New Ostrowski-Gruss type inequalities with the derivatives bounded by functions
    Feng, Qinghua
    Meng, Fanwei
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2013,
  • [30] Generalizations of Ostrowski-Gruss type integral inequalities for twice differentiable mappings
    Park, Jaekeun
    INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS & STATISTICS, 2013, 39 (09): : 10 - 23