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Approximation by polyhedral functions in a hausdorff metric

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Literature cited

  1. Bl. Sendov, “Linear methods of approximation of periodic functions with respect to a Hausdorff metric,” Dokl. Akad. Nauk SSSR,160, No. 5 (1965).

  2. Bl. Sendov, “Korovkin's theorems for convergence of a sequence of linear positive operators,” Dokl. Akad. Nauk SSSR,177, No. 3 (1967).

  3. V. T. Martynyuk, “Linear methods of approximation of bounded functions of two variables with respect to a Hausdorff metric,” Izv. Vuzov, Matematika, No. 7 (74) (1968).

  4. V. N. Malozemov, “Deviation of broken lines,” Vestnik LGU, No. 7 (1966).

  5. V. F. Storchai, “Deviation of broken lines in the metric Lp,” Matem. Zametki,5, No. 1 (1969).

  6. V. T. Martynyuk, “Approximation by Steklov functions in a Hausdorff metric,” Matem. Zametki,5, No. 1 (1969).

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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 25, No. 1, pp. 115–120, January–February, 1973.

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Martynyuk, V.T., Storchai, V.F. Approximation by polyhedral functions in a hausdorff metric. Ukr Math J 25, 98–102 (1973). https://doi.org/10.1007/BF01085401

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  • DOI: https://doi.org/10.1007/BF01085401

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