Here we give a Voronovskaja formula of high order for certain linear combinations of the convolution operators . This kind of combinations provides a better order of pointwise approximation and leads to asymptotic formulae which determine differential operator containing derivatives of higher order.
On Voronovskaja formula for linear combinations of Mellin-Gauss-Weierstrass operators
BARDARO, Carlo;MANTELLINI, Ilaria
2012
Abstract
Here we give a Voronovskaja formula of high order for certain linear combinations of the convolution operators . This kind of combinations provides a better order of pointwise approximation and leads to asymptotic formulae which determine differential operator containing derivatives of higher order.File in questo prodotto:
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