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Monotonicity of the midpoint and trapezium estimates for integrals
Published online by Cambridge University Press: 13 October 2021
Extract
The ‘midpoint’ approximation to the integral $$\int_0^1 f $$ is
$${M_n}\left( f \right) = {1 \over n}\sum\limits_{r = 1}^n f \left( {{{2r - 1} \over {2n}}} \right)$$
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