Modulus of smoothness: Difference between revisions

Revision as of 06:56, 5 December 2014

Revision as of 07:06, 5 December 2014

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<ref>DeVore, Ronald A., Lorentz, George G., Constructive approximation, Springer-Verlag, 1993.</ref>

Here we used the definition of the [[https://en.wikipedia.org/wiki/Finite_difference|\fined finite difference]] (n-th order forward difference)

<math>\Delta_h^n(f,x_0)=\sum_{i=1}^n(-1)^{n-i}\binom{n}{i} f(x_0+ih).</math>