Abstract
We study the integration problem in which one wants to compute the approximation to the definite integral in the average case setting. We choose the composite Newton-Cotes quadratures as our algorithm and the function values at equally spaced sample points on the given interval [0,1] as information. We compute the average case error of composite Newton-Cotes quadratures and show that it is minimal (modulo a multiplicative constant).
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
