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Berman, David L'vovich
(1918–1994)
Statistics Math-Net.Ru
Total publications: 83
Scientific articles: 79

Number of views:
This page:2490
Abstract pages:11600
Full texts:4702
References:31
Professor
Doctor of physico-mathematical sciences (1966)

https://www.mathnet.ru/eng/person22940
List of publications on Google Scholar
List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/208483

Publications in Math-Net.Ru Citations
1989
1. D. L. Berman, “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  mathnet  mathscinet  zmath; Soviet Math. (Iz. VUZ), 33:8 (1989), 100–104
1984
2. D. L. Berman, “Investigation of convergence of various extensions of some Hermite–Féjer interpolation process”, Izv. Vyssh. Uchebn. Zaved. Mat., 1984, no. 6,  73–75  mathnet  mathscinet  zmath; Soviet Math. (Iz. VUZ), 28:6 (1984), 91–93
1982
3. D. L. Berman, “Solution of an extremal problem in operator theory”, Dokl. Akad. Nauk SSSR, 265:4 (1982),  777–781  mathnet  mathscinet  zmath
4. D. L. Berman, “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  mathnet  mathscinet  zmath; Soviet Math. (Iz. VUZ), 26:7 (1982), 88–90
5. D. L. Berman, “A means for the approximation of a function that generalizes Bernstein polynomials”, Izv. Vyssh. Uchebn. Zaved. Mat., 1982, no. 2,  84–85  mathnet  mathscinet  zmath; Soviet Math. (Iz. VUZ), 26:2 (1982), 112–114
6. D. L. Berman, “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  mathnet  mathscinet  zmath; Russian Math. Surveys, 37:2 (1982), 201–202  isi
1981
7. D. L. Berman, “On the extension of the Hermite–Fejér interpolation process”, Izv. Vyssh. Uchebn. Zaved. Mat., 1981, no. 8,  5–13  mathnet  mathscinet  zmath
8. D. L. Berman, “An everywhere divergent extended Krylov–Štaerman interpolation process”, Izv. Vyssh. Uchebn. Zaved. Mat., 1981, no. 4,  5–11  mathnet  mathscinet  zmath
1980
9. D. L. Berman, “Investigation of the Hermite-Fejér process constructed in an extended system of ultraspherical node”, Izv. Vyssh. Uchebn. Zaved. Mat., 1980, no. 3,  3–7  mathnet  mathscinet  zmath; Soviet Math. (Iz. VUZ), 24:3 (1980), 1–5
1979
10. D. L. Berman, “Extended Hermite–Fejér interpolation processes constructed for $f(x)=x^k$”, Izv. Vyssh. Uchebn. Zaved. Mat., 1979, no. 7,  10–14  mathnet  mathscinet  zmath; Soviet Math. (Iz. VUZ), 23:7 (1979), 8–13
1978
11. D. L. Berman, “Everywhere convergent Hermite–Fejér interpolation processes”, Izv. Vyssh. Uchebn. Zaved. Mat., 1978, no. 7,  3–4  mathnet  mathscinet  zmath; Soviet Math. (Iz. VUZ), 22:7 (1978), 1–2
12. D. L. Berman, “On an extremal polynomial operator”, Izv. Vyssh. Uchebn. Zaved. Mat., 1978, no. 5,  3–8  mathnet  mathscinet  zmath; Soviet Math. (Iz. VUZ), 22:5 (1978), 1–5
13. D. L. Berman, “Some remarks on the convergence of extended interpolation processes”, Izv. Vyssh. Uchebn. Zaved. Mat., 1978, no. 4,  11–18  mathnet  mathscinet  zmath; Soviet Math. (Iz. VUZ), 22:4 (1978), 8–14
14. D. L. Berman, “An averaging operator”, Izv. Vyssh. Uchebn. Zaved. Mat., 1978, no. 3,  10–14  mathnet  mathscinet  zmath; Soviet Math. (Iz. VUZ), 22:3 (1978), 7–10
1977
15. D. L. Berman, “On a property of the Weierstrass linear polynomial operators”, Izv. Vyssh. Uchebn. Zaved. Mat., 1977, no. 12,  125–127  mathnet  mathscinet  zmath; Soviet Math. (Iz. VUZ), 21:12 (1977), 94–95
16. D. L. Berman, “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  mathnet  mathscinet  zmath; Soviet Math. (Iz. VUZ), 21:1 (1977), 106–108
1975
17. D. L. Berman, “Divergent extended trigonometric interpolation processes”, Dokl. Akad. Nauk SSSR, 221:3 (1975),  520–523  mathnet  mathscinet  zmath
18. D. L. Berman, “An everywhere divergent extended Hermite-Fejér interpolation process”, Izv. Vyssh. Uchebn. Zaved. Mat., 1975, no. 9,  84–87  mathnet  mathscinet  zmath; Soviet Math. (Iz. VUZ), 19:9 (1975), 71–75
19. D. L. Berman, “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  mathnet  mathscinet  zmath; Soviet Math. (Iz. VUZ), 19:8 (1975), 79–82
20. D. L. Berman, “The Egerváry–Turán interpolation process, constructed for an extended system of Čebyšev nodes”, Izv. Vyssh. Uchebn. Zaved. Mat., 1975, no. 7,  99–102  mathnet  mathscinet  zmath; Soviet Math. (Iz. VUZ), 19:7 (1975), 76–79
21. D. L. Berman, “The extended Hermite-Fejér interpolation process”, Izv. Vyssh. Uchebn. Zaved. Mat., 1975, no. 1,  93–96  mathnet  mathscinet  zmath
1974
22. D. L. Berman, “A discrete analogue of Lukács's theorem, and its application”, Izv. Vyssh. Uchebn. Zaved. Mat., 1974, no. 8,  16–21  mathnet  mathscinet  zmath
1973
23. D. L. Berman, “Investigations of interpolation processes constructed with extended systems of Jacobi nodes”, Izv. Vyssh. Uchebn. Zaved. Mat., 1973, no. 10,  14–22  mathnet  mathscinet  zmath
24. D. L. Berman, “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  mathnet  mathscinet  zmath
1972
25. D. L. Berman, “On interpolation theory in the complex domain”, Izv. Akad. Nauk SSSR Ser. Mat., 36:4 (1972),  789–794  mathnet  mathscinet  zmath; Math. USSR-Izv., 6:4 (1972), 782–787
26. D. L. Berman, “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  mathnet  mathscinet  zmath 2
1971
27. D. L. Berman, “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  mathnet  mathscinet  zmath 1
28. D. L. Berman, “A certain polynomial operator”, Izv. Vyssh. Uchebn. Zaved. Mat., 1971, no. 11,  19–24  mathnet  mathscinet  zmath
29. D. L. Berman, “On the S. N. Bernshtein–I. Martsinkevich method for the summability of interpolation processes”, Izv. Vyssh. Uchebn. Zaved. Mat., 1971, no. 5,  14–17  mathnet  mathscinet  zmath
30. D. L. Berman, “Certain properties of interpolation processes”, Izv. Vyssh. Uchebn. Zaved. Mat., 1971, no. 3,  12–17  mathnet  mathscinet  zmath
31. D. L. Berman, “Investigations of interpolation processes that are constructed with extended systems of nodes”, Izv. Vyssh. Uchebn. Zaved. Mat., 1971, no. 2,  22–32  mathnet  mathscinet  zmath
1970
32. D. L. Berman, “Everywhere diverging extended Hermite–Fejér interpolation processes”, Dokl. Akad. Nauk SSSR, 193:1 (1970),  13–16  mathnet  mathscinet  zmath
33. D. L. Berman, “On a certain interpolation process of Hermite-Fejér type”, Izv. Vyssh. Uchebn. Zaved. Mat., 1970, no. 9,  11–13  mathnet  mathscinet  zmath
34. D. L. Berman, “Certain trigonometric identities and their application in interpolation theory”, Izv. Vyssh. Uchebn. Zaved. Mat., 1970, no. 7,  26–34  mathnet  mathscinet  zmath
35. D. L. Berman, “A certain everywhere divergent Hermite–Fejér interpolation process”, Izv. Vyssh. Uchebn. Zaved. Mat., 1970, no. 1,  3–8  mathnet  mathscinet  zmath
1969
36. D. L. Berman, “An investigation of the Hermite–Fejér interpolation process”, Dokl. Akad. Nauk SSSR, 187:2 (1969),  241–244  mathnet  mathscinet  zmath
37. D. L. Berman, “On the theory of interpolation of a function of a real variable”, Izv. Vyssh. Uchebn. Zaved. Mat., 1969, no. 8,  10–16  mathnet  mathscinet  zmath
1968
38. D. L. Berman, “On a generalized M. Riesz formula”, Dokl. Akad. Nauk SSSR, 183:4 (1968),  743–746  mathnet  mathscinet  zmath
39. D. L. Berman, “Certain linear polynomial operations in a complex region”, Dokl. Akad. Nauk SSSR, 179:3 (1968),  507–510  mathnet  mathscinet  zmath
40. D. L. Berman, “Linear polynomial operations in the complex domain and Faber polynomials”, Dokl. Akad. Nauk SSSR, 178:2 (1968),  267–270  mathnet  mathscinet  zmath
41. D. L. Berman, “A generalization of the theory of linear polynomial operations to a complex region”, Izv. Vyssh. Uchebn. Zaved. Mat., 1968, no. 8,  18–25  mathnet  mathscinet  zmath
1967
42. D. L. Berman, “An investigation of interpolation processes constructed with an extended system of P. L. Chebyshev nodes”, Dokl. Akad. Nauk SSSR, 176:2 (1967),  239–242  mathnet  mathscinet  zmath
43. D. L. Berman, “Generalized formula of M. Riesz and the extension of convolution”, Dokl. Akad. Nauk SSSR, 174:5 (1967),  999–1002  mathnet  mathscinet  zmath
44. D. L. Berman, “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  mathnet  mathscinet  zmath
45. D. L. Berman, “On the theory of interpolation of a function of a real variable”, Izv. Vyssh. Uchebn. Zaved. Mat., 1967, no. 6,  3–10  mathnet  mathscinet  zmath
46. D. L. Berman, “On the theory of interpolation of a function of a real variable”, Izv. Vyssh. Uchebn. Zaved. Mat., 1967, no. 1,  15–20  mathnet  mathscinet  zmath
1966
47. D. L. Berman, “Certain identities in the general theory of orthogonal polynomials and their applications”, Dokl. Akad. Nauk SSSR, 170:4 (1966),  763–766  mathnet  mathscinet  zmath
48. D. L. Berman, “Extremal problems in the theory of polynomial operations”, Dokl. Akad. Nauk SSSR, 170:1 (1966),  13–16  mathnet  mathscinet  zmath
49. D. L. Berman, “The monotoneity principle in the theory of interpolation”, Dokl. Akad. Nauk SSSR, 169:3 (1966),  503–506  mathnet  mathscinet  zmath
50. D. L. Berman, “Linear polynomial operations in a complex region”, Izv. Vyssh. Uchebn. Zaved. Mat., 1966, no. 3,  24–31  mathnet  mathscinet  zmath
51. D. L. Berman, “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  mathnet  mathscinet  zmath
52. D. L. Berman, “Questions of the theory of polynomial operations”, Izv. Vyssh. Uchebn. Zaved. Mat., 1966, no. 1,  15–24  mathnet  mathscinet  zmath
1965
53. D. L. Berman, “The interpolation process of S. N. Bernstein in the complex domain”, Dokl. Akad. Nauk SSSR, 164:2 (1965),  251–254  mathnet  mathscinet  zmath
54. D. L. Berman, “On the theory of interpolation”, Dokl. Akad. Nauk SSSR, 163:3 (1965),  551–554  mathnet  mathscinet  zmath
55. D. L. Berman, “Certain extremal problems of the theory of polynomial operators”, Dokl. Akad. Nauk SSSR, 161:5 (1965),  999–1002  mathnet  mathscinet  zmath
56. D. L. Berman, “Problems in the theory of interpolation of a function of a real variable”, Izv. Vyssh. Uchebn. Zaved. Mat., 1965, no. 6,  27–36  mathnet  mathscinet  zmath
1964
57. D. L. Berman, “Majorants for the derivative of a polynomial”, Dokl. Akad. Nauk SSSR, 159:5 (1964),  958–960  mathnet  mathscinet  zmath
58. D. L. Berman, “The theory of linear polynomial operations on topological groups”, Dokl. Akad. Nauk SSSR, 155:1 (1964),  17–19  mathnet  mathscinet  zmath
59. D. L. Berman, “The solution of an extremal problem in the theory of interpolation”, Izv. Vyssh. Uchebn. Zaved. Mat., 1964, no. 6,  10–14  mathnet  mathscinet  zmath
1963
60. D. L. Berman, “On the theory of semigroups of linear operators”, Dokl. Akad. Nauk SSSR, 153:1 (1963),  9–11  mathnet  mathscinet  zmath 1
61. D. L. Berman, “On the theory of linear polynomial operations”, Dokl. Akad. Nauk SSSR, 151:4 (1963),  755–757  mathnet  mathscinet  zmath
62. D. L. Berman, “On the best grid system for parabolic interpolation”, Izv. Vyssh. Uchebn. Zaved. Mat., 1963, no. 4,  20–25  mathnet  mathscinet  zmath 2
63. D. L. Berman, “Extremal problems in the theory of polynomial operators”, Mat. Sb. (N.S.), 60(102):3 (1963),  354–365  mathnet  mathscinet  zmath
1962
64. D. L. Berman, “Classification of polynomial operations”, Dokl. Akad. Nauk SSSR, 144:5 (1962),  951–953  mathnet  mathscinet  zmath
65. D. L. Berman, “Polynomial operations commuting with translation”, Dokl. Akad. Nauk SSSR, 144:3 (1962),  467–470  mathnet  mathscinet  zmath
66. D. L. Berman, “Linear polynomial operations”, Dokl. Akad. Nauk SSSR, 143:4 (1962),  759–762  mathnet  mathscinet  zmath
1961
67. D. L. Berman, “Extremal problems in the theory of polynomial operators (non-periodic case)”, Dokl. Akad. Nauk SSSR, 140:3 (1961),  519–521  mathnet  mathscinet  zmath
68. D. L. Berman, “Extremal properties in the theory of polynomial operators”, Dokl. Akad. Nauk SSSR, 138:4 (1961),  747–750  mathnet  mathscinet  zmath
69. D. L. Berman, “Some remarks on the problem of speed of convergence of polynomial operators”, Izv. Vyssh. Uchebn. Zaved. Mat., 1961, no. 5,  3–5  mathnet  mathscinet  zmath
1960
70. D. L. Berman, “Some inequalities and their application to interpolation processes”, Izv. Vyssh. Uchebn. Zaved. Mat., 1960, no. 6,  24–30  mathnet  mathscinet  zmath
71. D. L. Berman, “Linear polynomial operations on groups”, Izv. Vyssh. Uchebn. Zaved. Mat., 1960, no. 4,  17–28  mathnet  mathscinet  zmath
1959
72. D. L. Berman, “On the impossibility of constructing a linear polynomial operator giving an approximation of best order”, Uspekhi Mat. Nauk, 14:4(88) (1959),  141–142  mathnet  mathscinet  zmath
73. D. L. Berman, “Linear trigonometric polynomial operations in spaces of almost-periodic functions”, Mat. Sb. (N.S.), 49(91):3 (1959),  267–280  mathnet  mathscinet  zmath
1958
74. D. L. Berman, “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  mathnet  mathscinet  zmath
75. D. L. Berman, “The distribution of nodes in the Bernstein interpolation process”, Dokl. Akad. Nauk SSSR, 119:6 (1958),  1063–1065  mathnet  mathscinet  zmath
76. D. L. Berman, “The approximation of non-periodic functions by interpolating polynomials”, Izv. Vyssh. Uchebn. Zaved. Mat., 1958, no. 6,  30–35  mathnet  mathscinet  zmath
77. D. L. Berman, “Divergence of the Hermite–Féjer interpolation process”, Uspekhi Mat. Nauk, 13:2(80) (1958),  143–148  mathnet  mathscinet  zmath
1957
78. D. L. Berman, “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  mathnet  mathscinet  zmath 1
79. D. L. Berman, “On the distribution of the nodes in the interpolation process of S. N. Bernshtein”, Izv. Vyssh. Uchebn. Zaved. Mat., 1957, no. 1,  35–43  mathnet  mathscinet  zmath
1967
80. D. L. Berman, “Поправки к статье “К теории интерполяции” (ДАН, т. 163, № 3, 1965 г.)”, Dokl. Akad. Nauk SSSR, 175:6 (1967),  750  mathnet
1962
81. D. L. Berman, “Поправки к статье “Полиномиальные операции, коммутативные со сдвигом” (ДАН, т. 144, № 3, 1962 г.)”, Dokl. Akad. Nauk SSSR, 147:6 (1962),  1270  mathnet
1961
82. D. L. Berman, “Замечание к статье “О невозможности построения линейного полиномиального оператора, дающего приближение порядка наилучшего””, Dokl. Akad. Nauk SSSR, 137:6 (1961),  1262  mathnet
1958
83. D. L. Berman, “Errata”, Uspekhi Mat. Nauk, 13:4(82) (1958),  233  mathnet

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