• Title of article

    VARIOUS ERROR ESTIMATIONS FOR SEVERAL NEWTON–COTES QUADRATURE FORMULAE IN TERMS OF AT MOST FIRST DERIVATIVE AND APPLICATIONS IN NUMERICAL INTEGRATION

  • Author/Authors

    ALOMARI, M. W. Jadara University - Faculty of Science and Information Technology - Department of Mathematics, Jordan , DRAGOMIR, S. S. Victoria University - School of Engineering Science - Departments of Mathematics, Australia

  • From page
    89
  • To page
    108
  • Abstract
    Error estimates for midpoint, trapezoid, Simpson’s, Maclaurin’s, 3/8-Simpson’s and Boole’s type rules are obtained. Some related inequalities of Ostrowski’s type are pointed out. These results are obtained for mappings of bounded variation, Lipschitzian, and absolutely continuous mappings whose first derivatives are belong to Lp [a, b] (1 ≤ p ≤ ∞). Applications to numerical integration are provided.
  • Keywords
    Newton–Cotes formulae , Numerical integration , Ostrowski’s inequality.
  • Journal title
    Jordan Journal Of Mathematics an‎d Statistics
  • Journal title
    Jordan Journal Of Mathematics an‎d Statistics
  • Record number

    2643876

    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=10&DC=2643876