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On the results of N. P. Korneichuk obtained in 1990–1999

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We present a brief survey of Korneichuk’s works published in 1990–1999.

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WORKS OF N. P. KORNEICHUK PUBLISHED IN 1990–1999

  1. N. P. Korneichuk, “Approximation theory and optimization problems,” Ukr. Mat. Zh., 42, No. 5, 579–595 (1990).

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  2. N. P. Korneichuk, “Sobre nuovas resultados referentes a las problemas extremales de la teoria cuadratura. Complemento,” in:S. Nikolski (ed.), Formulas de Cuadratura, Mir, Moscow (1990), pp. 146–292.

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  3. N. P. Korneichuk, Exact Constants in Approximation Theory, Encyclopedia of Mathematics and Its Applications, Vol. 38, Cambridge University Press (1991).

  4. N. P. Korneichuk, “Determination of exact estimates for the derivative of the error of spline interpolation,” Ukr. Mat., Zh., 43, No.2, 206–210 (1991).

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  5. N. P. Korneichuk, “Behavior of derivatives of the error of spline interpolation,” Ukr. Mat. Zh., 43, No. 1, 67–72 (1991).

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  6. N. P. Korneichuk, “On some problems of coding and renewal of functions,” Ukr. Mat. Zh., 43, No. 4, 514–524 (1991).

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  7. N. P. Korneichuk, “Optimal coding of functions,” in: Optimal Recovery, Nova, New York (1992), pp. 59–98.

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  8. N. P. Korneichuk, “Encoding and recovery of operator values,” J. Complexity, 8, 79–91 (1992).

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  9. N. P. Korneichuk, V. F. Babenko, and A. A. Ligun, Extremal Properties of Polynomials and Splines [in Russian], Naukova Dumka,Kiev (1992).

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  10. N. P. Korneichuk, “On passive and active algorithms of reconstruction of functions,” Ukr. Mat. Zh., 45, No. 2, 257–264 (1993).

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  11. N. P. Korneichuk, “ Optimization of adaptive algorithms for the renewal of monotone functions from the class H ω,” Ukr. Mat. Zh., 45, No. 12, 1627–1634 (1993).

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  12. N. P. Korneichuk, “Informativeness of functionals,” Ukr. Mat. Zh., 46. No. 9, 1156–1163 (1994).

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  13. N. P. Korneichuk, “On the optimal reconstruction of the values of operators,” Ukr. Mat. Zh., 46, No. 10, 1375–1381 (1994).

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  14. N. P. Korneichuk, “Optimization of active algorithms for recovery of monotonia functions from Holder class,” J. Complexity, 10, 265–269 (1994).

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  15. N. P. Korneichuk, “On the comparison of informativeness of functionals,” Dopov. Akad. Nauk Ukr., Ser. Mat. Analiz, No. 2, 15–16 (1995).

  16. N. P. Korneichuk, “Information widths,” Ukr. Mat. Zh., 47. No. 11, 1506–1518 (1995).

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  17. N. P. Korneichuk, A. A. Ligun, and V. F. Babenko, Extremal Properties of Polynomials and Splines, Nova, New York 1996.

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  18. N. P. Korneichuk, “On linear widths of classes H ω,” Ukr. Mat. Zh., 48, No. 9, 1255–1264 (1996).

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  19. N. P. Korneichuk, “Complexity of approximation problems,” Ukr. Mat. Zh., 48, No. 12, 1683–1694 (1996).

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  20. N. P. Korneichuk, “On complexity of approximation problems,” E. J. Approxim., 3, No. 3, 251–273 (1997).

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  21. N. P. Korneichuk, “ Permutations and piecewise-constant approximation of continuous functions of n variables,” Ukr. Mat. Zh., 50, No. 7, 907–918 (1998).

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  22. N. P. Korneichuk, V. F. Babenko, S. A. Pichugov, and V. A. Kofanov, “Inequalities for upper bounds of functional and their applications in approximation theory,” Dopov. Akad. Nauk Ukr., Ser. Mai., No. 1, 24–29 (1999).

  23. N. P. Korneichuk, “Information aspects in the theory of approximation and recovery of operators,” Ukr. Mat. Zh.. 51, No. 3, 314–327 (1999).

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  24. N. P. Korneichuk, “On the best approximation of functions of n variables,” Ukr. Mat. Zh.. 51, No. 10, 1352–1359 (1999).

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Authors and Affiliations

  1. Dnepropetrovsk University, Dnepropetrovsk

    V. F. Babenko & V. P. Motornyi

  2. Dneprodzerzhinsk Technical University, Dneprodzerzhinsk

    A. A. Ligun

Authors
  1. V. F. Babenko
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  2. A. A. Ligun
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  3. V. P. Motornyi
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Babenko, V.F., Ligun, A.A. & Motornyi, V.P. On the results of N. P. Korneichuk obtained in 1990–1999. Ukr Math J 52, 3–7 (2000). https://doi.org/10.1007/BF02514132

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  • DOI: https://doi.org/10.1007/BF02514132

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