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Suppose we approximate over using the Lagrange interpolator for the nodes and. Use the Lagrange error term (remainder) to get an upper bound on the error.

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Suppose we approximate<br><img src='https://www.fatskills.com/images2/GradExams/04233108-BD7B-4FB5-82CA-C94C2E0F6973.png' height='23' width='171'/> over<br><img src='https://www.fatskills.com/images2/GradExams/413E30A0-9A8E-4FA6-80F7-9D4F5C13FB42.png' height='20' width='35'/> using the Lagrange interpolator<br><img src='https://www.fatskills.com/images2/GradExams/4D342A28-15E6-45F3-8A78-07CEA5FFF6D1.png' height='20' width='44'/> for the nodes<br><img src='https://www.fatskills.com/images2/GradExams/3FDB1B6F-4348-48A4-8D54-205785300F77.png' height='20' width='67'/> and<br><img src='https://www.fatskills.com/images2/GradExams/4A8C4FC1-DD25-4F76-A169-61C98F935E2A.png' height='20' width='67'/>. Use the Lagrange error term (remainder) to get an upper bound on the error.





 
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