On Korovkin type theorem in the space of locally integrable functions
A. D. Gadjiev; R. O. Efendiyev; E. Ibikli
Czechoslovak Mathematical Journal (2003)
- Volume: 53, Issue: 1, page 45-53
- ISSN: 0011-4642
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topGadjiev, A. D., Efendiyev, R. O., and Ibikli, E.. "On Korovkin type theorem in the space of locally integrable functions." Czechoslovak Mathematical Journal 53.1 (2003): 45-53. <http://eudml.org/doc/30757>.
@article{Gadjiev2003,
abstract = {It is shown that a Korovkin type theorem for a sequence of linear positive operators acting in weighted space $L_\{p,w\}(\{\mathrm \{l\}oc\})$ does not hold in all this space and is satisfied only on some subspace.},
author = {Gadjiev, A. D., Efendiyev, R. O., Ibikli, E.},
journal = {Czechoslovak Mathematical Journal},
keywords = {linear positive operators; Korovkin type theorem; weighted $L_p(\{\mathrm \{l\}oc\})$ spaces; linear positive operators; Korovkin type theorem; weighted spaces},
language = {eng},
number = {1},
pages = {45-53},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On Korovkin type theorem in the space of locally integrable functions},
url = {http://eudml.org/doc/30757},
volume = {53},
year = {2003},
}
TY - JOUR
AU - Gadjiev, A. D.
AU - Efendiyev, R. O.
AU - Ibikli, E.
TI - On Korovkin type theorem in the space of locally integrable functions
JO - Czechoslovak Mathematical Journal
PY - 2003
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 53
IS - 1
SP - 45
EP - 53
AB - It is shown that a Korovkin type theorem for a sequence of linear positive operators acting in weighted space $L_{p,w}({\mathrm {l}oc})$ does not hold in all this space and is satisfied only on some subspace.
LA - eng
KW - linear positive operators; Korovkin type theorem; weighted $L_p({\mathrm {l}oc})$ spaces; linear positive operators; Korovkin type theorem; weighted spaces
UR - http://eudml.org/doc/30757
ER -
References
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