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Keywords:
linear positive operators; Korovkin type theorem; weighted $L_p({\mathrm loc})$ spaces
linear positive operators; Korovkin type theorem; weighted $L_p({\mathrm loc})$ spaces
Summary:
It is shown that a Korovkin type theorem for a sequence of linear positive operators acting in weighted space $L_{p,w}({\mathrm loc})$ does not hold in all this space and is satisfied only on some subspace.
References:
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