A. D. Gadjiev, Institut of Mathematics and Mechanics, Academy of Sciences of The Azerbaijan Republic, Azerbaijan Academy of National Aviation, Baku, Azerbaijan; currently: Ankara University Faculty of Sciences, Department of Mathematics, 06100 Tandogan, Ankara, Turkey, e-mail: haciyev@science.ankara.edu.tr; R. O. Efendiyev, Institut of Mathematics and Mechanics, Academy of Sciences of the Azerbaijan Republic, Baku, Azerbaijan, e-mail: frteb@aas.ab.az; E. Ibikli, Ankara University, Faculty of Sciences, Department of Mathematics, 06100 Tandogan, Ankara, Turkey, e-mail: ibikli@science.ankara.edu.tr
Abstract: It is shown that a Korovkin type theorem for a sequence of linear positive operators acting in weighted space $L_{p,w}(\loc)$ does not hold in all this space and is satisfied only on some subspace.
Keywords: linear positive operators, Korovkin type theorem, weighted $L_p(\loc)$ spaces
Classification (MSC 2000): 41A36, 41A25
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