A. I. Fedotov

Lebesgue constant estimation in multidimensional Sobolev space

(Lobachevskii Journal of Mathematics, Vol.14, pp.25-32)

The norm estimation of the Lagrange interpolation operator is obtained. It isshown that the rate of convergence of the interpolative polynomials depends onthe choice of the sequence of multiindices and, for some sequences, is equal tothe rate of the best approximation of the interpolated function.



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