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Korovkin sets in the space of continuous functions for operators of the class S om

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Literature cited

  1. P. P. Korovkin, “Convergent sequences of linear operators,” Usp. Mat. Nauk,17, No. 4, 147–152 (1962).

    Google Scholar 

  2. L. M. Zybin, “On the condition for the convergence of sequences of linear operators of the class Sm,” Uch. Zap. Novgorodsk. Pedagog. Inst.,7, 37–43 (1966).

    Google Scholar 

  3. Yu. A. Shashkin, “Korovkin systems in the space of continuous functions,” Izv. Akad. Nauk SSSR, Ser. Mat.,26, No. 4, 495–512 (1962).

    Google Scholar 

  4. R. M. Min'kova and Yu. A. Shashkin, “On the convergence of linear operators of the class Sm,” Mat. Zametki,16, No. 5, 591–598 (1969).

    Google Scholar 

  5. R. M. Min'kova, “On Korovkin systems for operators of the class Sm,” Mat. Zametki,13, No. 1, 147–158 (1973).

    Google Scholar 

  6. A. L. Garkavi, “On a criterion for K-systems of continuous functions,” Izv. Vyssh. Uchebn. Zaved., Mat., No. 4, 55–59 (1972).

    Google Scholar 

  7. Yu. A. Shashkin, “Finitely defined linear operators in the space of continuous functions,” Usp. Mat. Nauk,20, No. 6, 175–180 (1965).

    Google Scholar 

  8. Yu. A. Shashkin, Ref. Zh. Mat.,2B, 512 (1975).

    Google Scholar 

  9. A. S. Cavaretta, “A Korovkin theorem for finitely defined operators,” in: Approximation Theory, G. G. Lorentz (editor), Academic Press, New York-London (1973), pp. 299–305.

    Google Scholar 

  10. C. A. Micchelli, “Chebyshev subspaces and convergence of positive operators,” Proc. Am. Math. Soc.,40, No. 2, 448–452 (1973).

    Google Scholar 

  11. L. G. Labsker, “On certain necessary conditions for convergence of sequences of positive linear operators to operators of the set Φ ok ,” in: Application of Functional Analysis in the Theory of Approximation [in Russian], Vol. 6, Kalinin (1975), pp. 59–69.

    Google Scholar 

  12. L. G. Labsker, “On weak convergence of sequences of positive linear functionals,” Dokl. Akad. Nauk SSSR,197, No. 6, 1264–1267 (1971).

    Google Scholar 

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Authors and Affiliations

  1. Moscow Institute for the Continuing Education of Manual Workers and Specialists of the Chemical Industry, USSR

    L. G. Labsker

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  1. L. G. Labsker
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Translated from Matematicheskie Zametki, Vol. 25, No. 4, pp. 521–536, April, 1979.

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Labsker, L.G. Korovkin sets in the space of continuous functions for operators of the class S om . Mathematical Notes of the Academy of Sciences of the USSR 25, 270–278 (1979). https://doi.org/10.1007/BF01688478

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  • DOI: https://doi.org/10.1007/BF01688478

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