1.6 Mean Error and Convergence in Mean

1.6 Mean Error and Convergence in Mean

• We can study the behavior of infinite series, but we must always use finite series.
• The properties of the Fourier series make them very useful in this setting.
• A formula will be developed before we go on to these properties.

• It's difficult to decide what "approximate" means.

• If the left-hand side of Eqs is close, 2 must converge.

• By comparing the numbers.

• The properties 2 and 3 can be used to check the computed values of Fourier coefficients.