Vol. 52 No. 1 (2000)

Research articles

• On the 80th birthday of Academician N. P. Korneichuk

  V. F. Babenko, A. A. Ligun, Yu. A. Mitropolskiy, V. P. Motornyi, S. M. Nikol'skii, A. M. Samoilenko

  3-4

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

  V. F. Babenko, A. A. Ligun, V. P. Motornyi

  5-8

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• Investigations of dnepropetrovsk mathematicians related to inequalities for derivatives of periodic functions and their applications

  V. F. Babenko

  9-29

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• On the uniqueness of an element of the best $L_1$-approximation for functions with values in a banach space

  V. F. Babenko, M. E. Gorbenko

  30-34

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• On the best approximation in the mean and overconvergence of a sequence of polynomials of the best approximation

  S. B. Vakarchuk

  35-45

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• Exact constants in inequalities of the jackson type for quadrature formulas

  V. G. Doronin, A. A. Ligun

  46-51

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• On the best approximation of periodic functions of two variables by polynomial splines

  N. P. Korneichuk

  52-57

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• Inequalities for polynomial splines

  N. P. Korneichuk

  58-65

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• Inequalities for upper bounds of functionals on the classes $W^r H^{ω}$ and their applications

  V. F. Babenko, N. P. Korneichuk, V. A. Kofanov, S. A. Pichugov

  66-84

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• On asymptotically exact estimates for the approximation of certain classes of functions by algebraic polynomials

  O. V. Motornaya, V. P. Motornyi

  85-99

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• Isogeometric spline reconstruction of plane curves

  N. A. Nazarenko

  100-105

  • PDF (Ukrainian)
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• Optimal discretization of Ill-posed problems

  S. V. Pereverzev, S. G. Solodkii

  106-121

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  • Springer

• On the jackson theorem for periodic functions in spaces with integral metric

  S. A. Pichugov

  122-133

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• On lower bounds for the approximation of functions by local splines with nonfixed nodes

  A. A. Shumeiko

  134-144

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  • Springer