On Non-Existence of Korovkin's Theorem in the Space of L_{p}-locally Integrable Functions

Authors: A. D. GADJIEV, ERTAN İBİKLİ

Abstract: It is shown that a Korovkin-type theorem does not hold in the weighted space of L_{p}-locally integrable functions on the whole real axis.

Keywords: Linear positive operators, Korovkin-type theorem, Weighted L_{p}(loc) space

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