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Matematicheskie Zametki, 1973, Volume 13, Issue 6, Pages 785–794 (Mi mzm7183)  
The generalization of some theorems of P. P. Korovkin on positive operators

V. A. Baskakov
Full-text PDF (579 kB)
Abstract: 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.
Received: 12.09.1972
English version:
Mathematical Notes, 1973, Volume 13, Issue 6, Pages 471–476
DOI: https://doi.org/10.1007/BF01163953
Bibliographic databases:
UDC: 517.5
Language: Russian
Citation: V. A. Baskakov, “The generalization of some theorems of P. P. Korovkin on positive operators”, Mat. Zametki, 13:6 (1973), 785–794; Math. Notes, 13:6 (1973), 471–476
Citation in format AMSBIB
\Bibitem{Bas73}
\by V.~A.~Baskakov
\paper The generalization of some theorems of P.\,P.~Korovkin on positive operators
\jour Mat. Zametki
\yr 1973
\vol 13
\issue 6
\pages 785--794
\mathnet{http://mi.mathnet.ru/mzm7183}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=328434}
\zmath{https://zbmath.org/?q=an:0283.41009|0278.43011}
\transl
\jour Math. Notes
\yr 1973
\vol 13
\issue 6
\pages 471--476
\crossref{https://doi.org/10.1007/BF01163953}
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