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On Korovkin type theorem in the space of locally integrable functions

A. D. Gadjiev; R. O. Efendiyev; E. Ibikli — 2003

Czechoslovak Mathematical Journal

It is shown that a Korovkin type theorem for a sequence of linear positive operators acting in weighted space $L_{p, w} (l o c)$ does not hold in all this space and is satisfied only on some subspace.

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