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Berman David L'vovich

Publications in Math-Net.Ru

  1. Investigation of the convergence of all possible extensions of the Hermite–Fejér interpolation process constructed for Legendre nodes

    Izv. Vyssh. Uchebn. Zaved. Mat., 1989, no. 8,  72–76
  2. Investigation of convergence of various extensions of some Hermite–Féjer interpolation process

    Izv. Vyssh. Uchebn. Zaved. Mat., 1984, no. 6,  73–75
  3. Solution of an extremal problem in operator theory

    Dokl. Akad. Nauk SSSR, 265:4 (1982),  777–781
  4. On the question of the distribution of roots of an algebraic polynomial with real coefficients

    Izv. Vyssh. Uchebn. Zaved. Mat., 1982, no. 7,  70–71
  5. A means for the approximation of a function that generalizes Bernstein polynomials

    Izv. Vyssh. Uchebn. Zaved. Mat., 1982, no. 2,  84–85
  6. Solution of an extremal problem in operator theory and analogues of an identity of M. Riesz

    Uspekhi Mat. Nauk, 37:2(224) (1982),  187–188
  7. On the extension of the Hermite–Fejér interpolation process

    Izv. Vyssh. Uchebn. Zaved. Mat., 1981, no. 8,  5–13
  8. An everywhere divergent extended Krylov–Štaerman interpolation process

    Izv. Vyssh. Uchebn. Zaved. Mat., 1981, no. 4,  5–11
  9. Investigation of the Hermite-Fejér process constructed in an extended system of ultraspherical node

    Izv. Vyssh. Uchebn. Zaved. Mat., 1980, no. 3,  3–7
  10. Extended Hermite–Fejér interpolation processes constructed for $f(x)=x^k$

    Izv. Vyssh. Uchebn. Zaved. Mat., 1979, no. 7,  10–14
  11. Everywhere convergent Hermite–Fejér interpolation processes

    Izv. Vyssh. Uchebn. Zaved. Mat., 1978, no. 7,  3–4
  12. On an extremal polynomial operator

    Izv. Vyssh. Uchebn. Zaved. Mat., 1978, no. 5,  3–8
  13. Some remarks on the convergence of extended interpolation processes

    Izv. Vyssh. Uchebn. Zaved. Mat., 1978, no. 4,  11–18
  14. An averaging operator

    Izv. Vyssh. Uchebn. Zaved. Mat., 1978, no. 3,  10–14
  15. On a property of the Weierstrass linear polynomial operators

    Izv. Vyssh. Uchebn. Zaved. Mat., 1977, no. 12,  125–127
  16. A study of the convergence of all possible extensions of a Hermite–Fejér interpolational process that is constructed on second order Čebyšev nodes

    Izv. Vyssh. Uchebn. Zaved. Mat., 1977, no. 1,  128–131
  17. Divergent extended trigonometric interpolation processes

    Dokl. Akad. Nauk SSSR, 221:3 (1975),  520–523
  18. An everywhere divergent extended Hermite-Fejér interpolation process

    Izv. Vyssh. Uchebn. Zaved. Mat., 1975, no. 9,  84–87
  19. A study of the convergence of all possible versions of extending the Hermite–Fejér interpolation process

    Izv. Vyssh. Uchebn. Zaved. Mat., 1975, no. 8,  97–101
  20. The Egerváry–Turán interpolation process, constructed for an extended system of Čebyšev nodes

    Izv. Vyssh. Uchebn. Zaved. Mat., 1975, no. 7,  99–102
  21. The extended Hermite-Fejér interpolation process

    Izv. Vyssh. Uchebn. Zaved. Mat., 1975, no. 1,  93–96
  22. A discrete analogue of Lukács's theorem, and its application

    Izv. Vyssh. Uchebn. Zaved. Mat., 1974, no. 8,  16–21
  23. Investigations of interpolation processes constructed with extended systems of Jacobi nodes

    Izv. Vyssh. Uchebn. Zaved. Mat., 1973, no. 10,  14–22
  24. A certain interpolational criterion for the continuity of a periodic function with bounded second variation

    Izv. Vyssh. Uchebn. Zaved. Mat., 1973, no. 3,  14–18
  25. On interpolation theory in the complex domain

    Izv. Akad. Nauk SSSR Ser. Mat., 36:4 (1972),  789–794
  26. A monotonicity principle in the theory of the interpolation of a function of a real variable

    Izv. Vyssh. Uchebn. Zaved. Mat., 1972, no. 4,  10–17
  27. An iterpolatory analog of Wiener’s criterion for the continuity of a function of bounded variation

    Dokl. Akad. Nauk SSSR, 196:3 (1971),  495–497
  28. A certain polynomial operator

    Izv. Vyssh. Uchebn. Zaved. Mat., 1971, no. 11,  19–24
  29. On the S. N. Bernshtein–I. Martsinkevich method for the summability of interpolation processes

    Izv. Vyssh. Uchebn. Zaved. Mat., 1971, no. 5,  14–17
  30. Certain properties of interpolation processes

    Izv. Vyssh. Uchebn. Zaved. Mat., 1971, no. 3,  12–17
  31. Investigations of interpolation processes that are constructed with extended systems of nodes

    Izv. Vyssh. Uchebn. Zaved. Mat., 1971, no. 2,  22–32
  32. Everywhere diverging extended Hermite–Fejér interpolation processes

    Dokl. Akad. Nauk SSSR, 193:1 (1970),  13–16
  33. On a certain interpolation process of Hermite-Fejér type

    Izv. Vyssh. Uchebn. Zaved. Mat., 1970, no. 9,  11–13
  34. Certain trigonometric identities and their application in interpolation theory

    Izv. Vyssh. Uchebn. Zaved. Mat., 1970, no. 7,  26–34
  35. A certain everywhere divergent Hermite–Fejér interpolation process

    Izv. Vyssh. Uchebn. Zaved. Mat., 1970, no. 1,  3–8
  36. An investigation of the Hermite–Fejér interpolation process

    Dokl. Akad. Nauk SSSR, 187:2 (1969),  241–244
  37. On the theory of interpolation of a function of a real variable

    Izv. Vyssh. Uchebn. Zaved. Mat., 1969, no. 8,  10–16
  38. On a generalized M. Riesz formula

    Dokl. Akad. Nauk SSSR, 183:4 (1968),  743–746
  39. Certain linear polynomial operations in a complex region

    Dokl. Akad. Nauk SSSR, 179:3 (1968),  507–510
  40. Linear polynomial operations in the complex domain and Faber polynomials

    Dokl. Akad. Nauk SSSR, 178:2 (1968),  267–270
  41. A generalization of the theory of linear polynomial operations to a complex region

    Izv. Vyssh. Uchebn. Zaved. Mat., 1968, no. 8,  18–25
  42. An investigation of interpolation processes constructed with an extended system of P. L. Chebyshev nodes

    Dokl. Akad. Nauk SSSR, 176:2 (1967),  239–242
  43. Generalized formula of M. Riesz and the extension of convolution

    Dokl. Akad. Nauk SSSR, 174:5 (1967),  999–1002
  44. Investigation of the interpolation process of S. N. Bernštein, constructed with equidistant nodes of the given segment

    Izv. Vyssh. Uchebn. Zaved. Mat., 1967, no. 7,  3–8
  45. On the theory of interpolation of a function of a real variable

    Izv. Vyssh. Uchebn. Zaved. Mat., 1967, no. 6,  3–10
  46. On the theory of interpolation of a function of a real variable

    Izv. Vyssh. Uchebn. Zaved. Mat., 1967, no. 1,  15–20
  47. Certain identities in the general theory of orthogonal polynomials and their applications

    Dokl. Akad. Nauk SSSR, 170:4 (1966),  763–766
  48. Extremal problems in the theory of polynomial operations

    Dokl. Akad. Nauk SSSR, 170:1 (1966),  13–16
  49. The monotoneity principle in the theory of interpolation

    Dokl. Akad. Nauk SSSR, 169:3 (1966),  503–506
  50. Linear polynomial operations in a complex region

    Izv. Vyssh. Uchebn. Zaved. Mat., 1966, no. 3,  24–31
  51. A generalization of an identity of M. Riesz and certain applications of the generalized identity

    Izv. Vyssh. Uchebn. Zaved. Mat., 1966, no. 2,  26–31
  52. Questions of the theory of polynomial operations

    Izv. Vyssh. Uchebn. Zaved. Mat., 1966, no. 1,  15–24
  53. The interpolation process of S. N. Bernstein in the complex domain

    Dokl. Akad. Nauk SSSR, 164:2 (1965),  251–254
  54. On the theory of interpolation

    Dokl. Akad. Nauk SSSR, 163:3 (1965),  551–554
  55. Certain extremal problems of the theory of polynomial operators

    Dokl. Akad. Nauk SSSR, 161:5 (1965),  999–1002
  56. Problems in the theory of interpolation of a function of a real variable

    Izv. Vyssh. Uchebn. Zaved. Mat., 1965, no. 6,  27–36
  57. Majorants for the derivative of a polynomial

    Dokl. Akad. Nauk SSSR, 159:5 (1964),  958–960
  58. The theory of linear polynomial operations on topological groups

    Dokl. Akad. Nauk SSSR, 155:1 (1964),  17–19
  59. The solution of an extremal problem in the theory of interpolation

    Izv. Vyssh. Uchebn. Zaved. Mat., 1964, no. 6,  10–14
  60. On the theory of semigroups of linear operators

    Dokl. Akad. Nauk SSSR, 153:1 (1963),  9–11
  61. On the theory of linear polynomial operations

    Dokl. Akad. Nauk SSSR, 151:4 (1963),  755–757
  62. On the best grid system for parabolic interpolation

    Izv. Vyssh. Uchebn. Zaved. Mat., 1963, no. 4,  20–25
  63. Extremal problems in the theory of polynomial operators

    Mat. Sb. (N.S.), 60(102):3 (1963),  354–365
  64. Classification of polynomial operations

    Dokl. Akad. Nauk SSSR, 144:5 (1962),  951–953
  65. Polynomial operations commuting with translation

    Dokl. Akad. Nauk SSSR, 144:3 (1962),  467–470
  66. Linear polynomial operations

    Dokl. Akad. Nauk SSSR, 143:4 (1962),  759–762
  67. Extremal problems in the theory of polynomial operators (non-periodic case)

    Dokl. Akad. Nauk SSSR, 140:3 (1961),  519–521
  68. Extremal properties in the theory of polynomial operators

    Dokl. Akad. Nauk SSSR, 138:4 (1961),  747–750
  69. Some remarks on the problem of speed of convergence of polynomial operators

    Izv. Vyssh. Uchebn. Zaved. Mat., 1961, no. 5,  3–5
  70. Some inequalities and their application to interpolation processes

    Izv. Vyssh. Uchebn. Zaved. Mat., 1960, no. 6,  24–30
  71. Linear polynomial operations on groups

    Izv. Vyssh. Uchebn. Zaved. Mat., 1960, no. 4,  17–28
  72. On the impossibility of constructing a linear polynomial operator giving an approximation of best order

    Uspekhi Mat. Nauk, 14:4(88) (1959),  141–142
  73. Linear trigonometric polynomial operations in spaces of almost-periodic functions

    Mat. Sb. (N.S.), 49(91):3 (1959),  267–280
  74. On the impossibility of constructing a linear polynomial operator furnishing an approximation within the order of the best approximation

    Dokl. Akad. Nauk SSSR, 120:6 (1958),  1175–1177
  75. The distribution of nodes in the Bernstein interpolation process

    Dokl. Akad. Nauk SSSR, 119:6 (1958),  1063–1065
  76. The approximation of non-periodic functions by interpolating polynomials

    Izv. Vyssh. Uchebn. Zaved. Mat., 1958, no. 6,  30–35
  77. Divergence of the Hermite–Féjer interpolation process

    Uspekhi Mat. Nauk, 13:2(80) (1958),  143–148
  78. The convergence of Lagrange's interpolation process constructed for absolutely continuous functions and functions of bounded variation

    Dokl. Akad. Nauk SSSR, 112:1 (1957),  9–12
  79. On the distribution of the nodes in the interpolation process of S. N. Bernshtein

    Izv. Vyssh. Uchebn. Zaved. Mat., 1957, no. 1,  35–43

  80. Поправки к статье “К теории интерполяции” (ДАН, т. 163, № 3, 1965 г.)

    Dokl. Akad. Nauk SSSR, 175:6 (1967),  750
  81. Поправки к статье “Полиномиальные операции, коммутативные со сдвигом” (ДАН, т. 144, № 3, 1962 г.)

    Dokl. Akad. Nauk SSSR, 147:6 (1962),  1270
  82. Замечание к статье “О невозможности построения линейного полиномиального оператора, дающего приближение порядка наилучшего”

    Dokl. Akad. Nauk SSSR, 137:6 (1961),  1262
  83. Errata

    Uspekhi Mat. Nauk, 13:4(82) (1958),  233

© Steklov Math. Inst. of RAS, 2024