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.

DOI

-

Keywords

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

First Page

207

Last Page

214

Recommended Citation

GADJIEV, A. D, & İBİKLİ, E (2002). On Non-Existence of Korovkin's Theorem in the Space of L_{p}-locally Integrable Functions. Turkish Journal of Mathematics 26 (2): 207-214. https://doi.org/-