Abstract
We give new criteria for the convergence of operators of class Sm to the identity operator.
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P. P. Korovkin, “Convergent sequences of linear operators,” Usp. Matem. Nauk,17, No. 4, 147–152 (1962).
L. M. Zybin, “Conditions for the convergence of sequences of linear operators of class Sm,” Uch. Zap. Novgorodskogo Ped. In-ta,7, 37–43 (1966).
A. L. Garkavi, “A criterion for K-systems of continuous functions,” Papers from the Conference on the Application of Functional Analysis to the Theory of Approximations [in Russian], Kalinin (1970), pp. 39–41.
R. M. Min'kova, “The convergence of linear operators of class Sm,” Papers from the Conference on the Application of Functional Analysis to the Theory of Approximations [in Russian], Kalinin (1970), pp. 99–105.
R. M. Min'kova and Yu. A. Shashkin, “The convergence of linear operators of class Sm,” Matem. Zametki,6, No. 5, 591–598 (1969).
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Translated from Matematicheskie Zametki, Vol. 13, No. 1, pp. 147–158, January, 1973.
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Min'kova, R.M. Korovkin systems for operators of class Sm . Mathematical Notes of the Academy of Sciences of the USSR 13, 87–93 (1973). https://doi.org/10.1007/BF01093637
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DOI: https://doi.org/10.1007/BF01093637