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Publications in Math-Net.Ru

  1. On a refinement of Jackson-type inequalities in the approximation of differentiable periodic functions by linear operators

    Izv. Vyssh. Uchebn. Zaved. Mat., 1995, no. 2,  79–82
  2. Exact inequalities of Jackson type for periodic functions in space $L_2$

    Mat. Zametki, 43:6 (1988),  757–769
  3. On the Jackson constants in the approximation of functions by linear operators

    Izv. Vyssh. Uchebn. Zaved. Mat., 1987, no. 1,  8–15
  4. Approximation of periodic functions by linear operators

    Trudy Mat. Inst. Steklov., 180 (1987),  98–99
  5. Sharp constants in inequalities of Jackson type

    Dokl. Akad. Nauk SSSR, 283:1 (1985),  34–38
  6. Choice of nodes of a spline for approximate solution of differential equations

    Izv. Vyssh. Uchebn. Zaved. Mat., 1985, no. 9,  27–31
  7. Exact constants in inequalities of Jackson type

    Mat. Zametki, 38:2 (1985),  248–256
  8. Constants in the Jackson theorem

    Mat. Zametki, 37:3 (1985),  326–336
  9. The choice of nodes in the approximate solution of boundary value problems by the spline-collocation method

    Differ. Uravn., 20:9 (1984),  1529–1534
  10. Optimal choice of nodes in one-sided approximation of functions by splines

    Izv. Vyssh. Uchebn. Zaved. Mat., 1984, no. 9,  29–38
  11. Sharp inequalities for perfect splines and their applications

    Izv. Vyssh. Uchebn. Zaved. Mat., 1984, no. 5,  32–38
  12. Optimal choice of nodes in the approximation of functions by interpolation splines

    Zh. Vychisl. Mat. Mat. Fiz., 24:9 (1984),  1283–1293
  13. Inequalities for norms of derivatives of periodic functions

    Mat. Zametki, 33:3 (1983),  385–391
  14. Optimal reconstruction of functions on classes $W^r_p$

    Izv. Vyssh. Uchebn. Zaved. Mat., 1982, no. 10,  37–39
  15. Interpolation of functions by cubic Hermitian splines

    Izv. Vyssh. Uchebn. Zaved. Mat., 1982, no. 6,  26–29
  16. Precise constants in inequalities of Jackson type

    Mat. Zametki, 29:5 (1981),  761–769
  17. Best one-sided approximation of certain classes of functions

    Mat. Zametki, 29:3 (1981),  431–454
  18. On the exact solution of some extremal problems on classes of functions determined by integral moduli of continuity

    Dokl. Akad. Nauk SSSR, 251:1 (1980),  16–19
  19. Best one-sided approximation on an interval

    Izv. Vyssh. Uchebn. Zaved. Mat., 1980, no. 5,  16–21
  20. Best approximation of differentiable functions by algebraic polynomials

    Izv. Vyssh. Uchebn. Zaved. Mat., 1980, no. 4,  53–60
  21. Diameters of certain classes of differentiate periodic functions

    Mat. Zametki, 27:1 (1980),  61–75
  22. Exact values of best one-sided approximations of certain classes of periodic functions

    Izv. Vyssh. Uchebn. Zaved. Mat., 1979, no. 8,  20–25
  23. Some inequalities between best approximations and moduli of continuity in an $L_2$ space

    Mat. Zametki, 24:6 (1978),  785–792
  24. Best quadrature formulas for certain classes of periodic functions

    Mat. Zametki, 24:5 (1978),  661–669
  25. An inequality for splines of minimum deficiency

    Mat. Zametki, 24:4 (1978),  547–552
  26. Optimal search strategies for the global maximum of a function

    Zh. Vychisl. Mat. Mat. Fiz., 18:2 (1978),  314–321
  27. The deviation of spline functions that are obtained by averaging piecewise linear functions

    Izv. Vyssh. Uchebn. Zaved. Mat., 1977, no. 1,  137–140
  28. Best-possible one-sided approximations in the classes $W_\alpha^rV$ ($r>-1$) by trigonometric polynomials in the metric of $L_1$

    Mat. Zametki, 22:3 (1977),  357–370
  29. Upper bounds of best one-sided approximations of the classes $W^rL_\psi$ in the metric of $L$

    Mat. Zametki, 22:2 (1977),  257–268
  30. The best one-sided approximation of the classes $W^rH_\omega$

    Mat. Zametki, 21:3 (1977),  313–327
  31. Best one-sided approximation of some classes of differentiable periodic functions

    Dokl. Akad. Nauk SSSR, 230:1 (1976),  19–21
  32. On the best choice of nodes for approximation by splines in the metric of $L_p$

    Mat. Zametki, 20:4 (1976),  611–618
  33. Precise values of the best one-sided approximations by splines

    Mat. Zametki, 20:3 (1976),  417–424
  34. Exact inequalities for splines and best quadrature formulas for certain classes of functions

    Mat. Zametki, 19:6 (1976),  913–926
  35. The order of the best one-sided approximation by polynomials and splines in the $L_p$-metric

    Mat. Zametki, 19:3 (1976),  323–329
  36. Upper bounds for the best one-sided approximation by splines of the classes $W^rL_1$

    Mat. Zametki, 19:1 (1976),  11–17
  37. Interpolation by polyhedral functions

    Mat. Zametki, 18:6 (1975),  803–814
  38. On a theorem of Jackson

    Mat. Zametki, 16:5 (1974),  681–690
  39. The best one-sided approximation of one class of functions by another

    Mat. Zametki, 14:5 (1973),  627–632
  40. Exact constants of approximation for differentiable periodic functions

    Mat. Zametki, 14:1 (1973),  21–30
  41. Exact inequalities for the upper bounds of seminorms on a class of periodic functions

    Mat. Zametki, 13:5 (1973),  647–654


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