Hey there! Sign in to join this conversationNew here? Join for free
x Turn on thread page Beta
    • Thread Starter
    Offline

    1
    ReputationRep:
    Hi, The proof for finding the interpolation error bound of a function uses fourier series (which i am rusty with as i have not done them for 2 years).

    We basically found the H1 norm of our error ||u-u_h|| and said it is smaller than an interpolant error bound ||u - Iu|| where the interpolant is defined in the 1st screenshot.

    We have h_i = x_i - x_(i-1) (so h_i is the distance between each root)

    The start of the proof is what confused me, I do not understand the step to the equation at the bottom of the page, or why that is relevant. Can anyone help?

    Thanks
    Attached Images
      
    Offline

    11
    ReputationRep:
    If you're talking about the final equation on the second slide, then they're using Parseval's equality/identity, I guess.
 
 
 
Reply
Submit reply
Turn on thread page Beta
Updated: January 10, 2015
Poll
Are you going to a festival?
Useful resources

Make your revision easier

Maths

Maths Forum posting guidelines

Not sure where to post? Read the updated guidelines here

Equations

How to use LaTex

Writing equations the easy way

Student revising

Study habits of A* students

Top tips from students who have already aced their exams

Study Planner

Create your own Study Planner

Never miss a deadline again

Polling station sign

Thinking about a maths degree?

Chat with other maths applicants

Can you help? Study help unanswered threads

Groups associated with this forum:

View associated groups

The Student Room, Get Revising and Marked by Teachers are trading names of The Student Room Group Ltd.

Register Number: 04666380 (England and Wales), VAT No. 806 8067 22 Registered Office: International House, Queens Road, Brighton, BN1 3XE

Write a reply...
Reply
Hide
Reputation gems: You get these gems as you gain rep from other members for making good contributions and giving helpful advice.