论文信息 - ON THE APPROXIMATION OF FUNCTIONS BY INTERPOLATING SPLINES DEFINED ON NONUNIFORM NETS

ON THE APPROXIMATION OF FUNCTIONS BY INTERPOLATING SPLINES DEFINED ON NONUNIFORM NETS

New results are obtained on the approximation of elements of Sobolev classes Wpl in the Lq metric by interpolating splines of order 2m - 1 and deficiency 1, defined on nonuniform nets Δn. The results are stated in terms of global and local properties of Δn, and depend mainly on an integral representation of the error.

A Yu Shadrin | A. Shadrin

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