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Journals / Turkish Journal of Mathematics / 2002 / Cilt: 26 - Sayı: 2

On Non-Existence of Korovkin's Theorem in the Space of Lp-locally Integrable Functions

A. D. GADJIEV

Pages
207–214
DOI
—

Abstract

It is shown that a Korovkin-type theorem does not hold in the weighted space of Lp-locally integrable functions on the whole real axis.

Özet

It is shown that a Korovkin-type theorem does not hold in the weighted space of Lp-locally integrable functions on the whole real axis.

Keywords: Linear positive operators, Korovkin-type theorem, Weighted Lp(loc) space