• Title of article

    Hadamard’s inequality and Trapezoid Rules for the Riemann–Stieltjes integral

  • Author/Authors

    Peter R. Mercer، نويسنده ,

  • Issue Information
    دوهفته نامه با شماره پیاپی سال 2008
  • Pages
    6
  • From page
    921
  • To page
    926
  • Abstract
    We obtain Midpoint and Trapezoid Rules for the Riemann–Stieltjes integral which engender a natural generalization of Hadamard’s integral inequality. Error terms are then obtained for this Riemann–Stieltjes Trapezoid Rule and other related quadrature rules. © 2008 Elsevier Inc. All rights reserved
  • Keywords
    Hermite–Hadamard inequality , Hadamard’s Inequality , Riemann–Stieltjes integral , Trapezoid Rule
  • Journal title
    Journal of Mathematical Analysis and Applications
  • Serial Year
    2008
  • Journal title
    Journal of Mathematical Analysis and Applications
  • Record number

    937248