A GENERALIZED INTEGRAL INEQUALITY FOR TWICE DIFFERENTIABLE MAPPINGS

被引:0
|
作者
Zafar, Fiza [1 ]
Mir, Nazir Ahmad [2 ]
机构
[1] Bahauddin Zakariya Univ, Ctr Adv Studies Pure & Appl Math, Multan 60800, Pakistan
[2] COMSATS Inst Informat Technol, Deptt Math, Islamabad 44000, Pakistan
来源
关键词
Ostrowski inequality; Numerical integration; Special means;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, a general form of integral inequality of Ostrowski type for twice differentiable mappings whose second derivatives are bounded and first deriviatives are absolutely continuous is established. The generalized integral inequality points some better estimates than some already presented bounds. The inequality is then applied to numerical integration and special means.
引用
收藏
页码:81 / 96
页数:16
相关论文
共 50 条
  • [1] ON THE GENERALIZED INTEGRAL INEQUALITIES FOR TWICE DIFFERENTIABLE MAPPINGS
    Sarikaya, Mehmet Zeki
    Erden, Samet
    Budak, Huseyin
    SIGMA JOURNAL OF ENGINEERING AND NATURAL SCIENCES-SIGMA MUHENDISLIK VE FEN BILIMLERI DERGISI, 2019, 37 (01): : 187 - 205
  • [2] On some integral inequalities for twice differentiable mappings
    Sarkaya, Mehmet Zeki
    Set, Erhan
    Ozdemir, M. Emin
    STUDIA UNIVERSITATIS BABES-BOLYAI MATHEMATICA, 2014, 59 (01): : 11 - 24
  • [3] GENERALIZED OSTROWSKI INTEGRAL INEQUALITY WITH WEIGHTS FOR SECOND ORDER DIFFERENTIABLE MAPPINGS
    Irshad, Nazia
    Khan, Asif R.
    Shaikh, Muhammad Awais
    Pecaric, Josip E.
    JOURNAL OF MATHEMATICAL ANALYSIS, 2020, 11 (03): : 1 - 13
  • [4] An Ostrowski Type Inequality for Twice Differentiable Mappings and Applications
    Erden, Samet
    Budak, Huseyin
    Sarikaya, Mehmet Zeki
    MATHEMATICAL MODELLING AND ANALYSIS, 2016, 21 (04) : 522 - 532
  • [5] On generalized fractional integral inequalities for twice differentiable convex functions
    Mohammed, Pshtiwan Othman
    Sarikaya, Mehmet Zeki
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2020, 372 (372)
  • [6] ANOTHER WEIGHTED OSTROWSKI-GRUSS TYPE INEQUALITY FOR TWICE DIFFERENTIABLE MAPPINGS
    Rafiq, Arif
    Ahmad, Farooq
    KRAGUJEVAC JOURNAL OF MATHEMATICS, 2008, 31 : 43 - 51
  • [7] Generalizations of Ostrowski-Gruss type integral inequalities for twice differentiable mappings
    Park, Jaekeun
    INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS & STATISTICS, 2013, 39 (09): : 10 - 23
  • [8] Some generalization of integral inequalities for twice differentiable mappings involving fractional integrals
    Sarikaya, Mehmet Zeki
    Budak, Huseyin
    ACTA UNIVERSITATIS SAPIENTIAE-MATHEMATICA, 2015, 7 (02) : 251 - 264
  • [9] On some new integral inequalities concerning twice differentiable generalized relative semi-(m, h)-preinvex mappings
    Kashuri, Artion
    Du, Tingsong
    Liko, Rozana
    STUDIA UNIVERSITATIS BABES-BOLYAI MATHEMATICA, 2019, 64 (01): : 43 - 61
  • [10] Certain midpoint-type integral inequalities involving twice differentiable generalized convex mappings and applications in fractal domain
    Yu, Shuhong
    Zhou, Yunxiu
    Du, Tingsong
    CHAOS SOLITONS & FRACTALS, 2022, 164