Simultaneous approximation and interpolation from lattices


We prove that if a sublattice L of a weighted space is an interpolating family, then simultaneous approximation and interpolation is possible from L.

DOI Code: 10.1285/i15900932v28n1p163

Keywords: lattices; weighted spaces; approximation; interpolation; Kakutani-Stone theorem

Classification: 41A65; 41A05; 46E10

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