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1 min read•june 7, 2020
Athena_Codes
Athena_Codes
Sometimes, we want to find out how accurate a prediction is to the actual function value at a given x. This is where the comes into play.
When we have the below, notice how similar it is to the from earlier!
Alternating Series Error Bound
: The alternating series error bound provides an upper bound on the absolute error when approximating an alternating series using only a finite number of terms. It helps determine how close our partial sum is to the actual value of the series.Lagrange Error Bound
: The Lagrange error bound gives an upper bound on the absolute error between an actual value and its approximation using a Taylor polynomial. It helps determine how close our estimation is to the true value.Taylor Polynomial
: A Taylor polynomial is a polynomial approximation of a function centered around a specific point. It is used to estimate the value of the function at nearby points.1 min read•june 7, 2020
Athena_Codes
Athena_Codes
Sometimes, we want to find out how accurate a prediction is to the actual function value at a given x. This is where the comes into play.
When we have the below, notice how similar it is to the from earlier!
Alternating Series Error Bound
: The alternating series error bound provides an upper bound on the absolute error when approximating an alternating series using only a finite number of terms. It helps determine how close our partial sum is to the actual value of the series.Lagrange Error Bound
: The Lagrange error bound gives an upper bound on the absolute error between an actual value and its approximation using a Taylor polynomial. It helps determine how close our estimation is to the true value.Taylor Polynomial
: A Taylor polynomial is a polynomial approximation of a function centered around a specific point. It is used to estimate the value of the function at nearby points.© 2024 Fiveable Inc. All rights reserved.
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