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- W2189388833 abstract "The present work concerns W-spaces, that is, spaces which permit Taylor interpolation on a given interval. We introduce the critical length of any given W-space E as the supremum of all positive h ensuring that E permits Hermite interpolation ( i.e. , E is an Extended Chebyshev space) on any subinterval of length h . The critical length may be equal to 0, but it is always positive if the interval is closed and bounded. Any W-space is allocated to a dual space. When the dual space is a W-space in turn, we can take advantage of its presence to calculate the critical length. The notion of critical length was first introduced in [3] for null spaces of linear differential operator with constant coefficients. As a special case, the use of duality gives new insights into the practical expressions to obtain the critical length of such null spaces." @default.
- W2189388833 created "2016-06-24" @default.
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- W2189388833 date "2012-12-28" @default.
- W2189388833 modified "2023-10-16" @default.
- W2189388833 title "From Taylor interpolation to Hermite interpolation via duality" @default.
- W2189388833 hasPublicationYear "2012" @default.
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