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On Korovkin Type Theorem in the Space of Locally Integrable Functions |
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| Authors: | A. D. Gadjiev R. O. Efendiyev E. İbikli |
| Affiliation: | (1) Academy of Sciences of The Azerbaijan Republic, Azerbaijan Academy of National Aviation, Institut of Mathematics and Mechanics, Baku, Azerbaijan;(2) Present address: Department of Mathematics, Ankara University Faculty of Sciences, 06100, Tandogan, Ankara, Turkey;(3) Academy of Sciences of the Azerbaijan Republic, Institut of Mathematics and Mechanics, Baku, Azerbaijan;(4) Department of Mathematics, Ankara University, Faculty of Sciences, 06100, Tandogan, Ankara, Turkey |
| Abstract: | It is shown that a Korovkin type theorem for a sequence of linear positive operators acting in weighted space Lp,w(loc) does not hold in all this space and is satisfied only on some subspace. |
| Keywords: | linear positive operators Korovkin type theorem weighted Lp(loc) spaces |
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