Geodesic
The generalization of some theorems of P. P. Korovkin on positive operators
Matematičeskie zametki, Tome 13 (1973) no. 6, pp. 785-794 Cet article a éte moissonné depuis la source Math-Net.Ru

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We introduce a class of linear operators, containing the positive operators, in which P. P. Korovkin's theorem on the conditions and order of convergence of positive operators hold. We consider also the class of linear operators, convergent to the derivative, in which similar theorems hold. 
@article{MZM_1973_13_6_a0,
     author = {V. A. Baskakov},
     title = {The generalization of some theorems of {P.} {P.~Korovkin} on positive operators},
     journal = {Matemati\v{c}eskie zametki},
     pages = {785--794},
     year = {1973},
     volume = {13},
     number = {6},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1973_13_6_a0/}
}
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V. A. Baskakov. The generalization of some theorems of P. P. Korovkin on positive operators. Matematičeskie zametki, Tome 13 (1973) no. 6, pp. 785-794. http://geodesic.mathdoc.fr/item/MZM_1973_13_6_a0/