4.2

4.2 - Numerical Analysis -4.1. Polynomial Interpolation...

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Unformatted text preview: Numerical Analysis -4.1. Polynomial Interpolation written by Soyoung Ahn, 2010 6 Error in Polynomial Interpolation For  ∈          and any given  ∈    with  ≠        ⋯                       ⋯                           where   ∈   and              ⋯        is the smallest interval containing       ⋯   and  4.2. Error in Polynomial Interpolation proof > 다음 두 가지 함수를 생각해보자.               ⇒       for    ⋯                 ⇒       and     이 때,   는  개의 서로 다른 근을 갖으며, Mean Value TH 에 의해서  ′  는  개의 서로 다른 근을 가짐을 알 수 있다. 즉,     ⋯   에 대하여 ∃   ∈         s  t   ′                         ...
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This document was uploaded on 10/18/2010.

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4.2 - Numerical Analysis -4.1. Polynomial Interpolation...

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