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
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
Journal title :
Journal of Mathematical Analysis and Applications
