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Pevnyi, Aleksandr Borisovich
Statistics Math-Net.Ru
Total publications: 43
Scientific articles: 43

Number of views:
This page:777
Abstract pages:9391
Full texts:4613
References:837
Professor
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https://www.mathnet.ru/eng/person19083
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List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/198201

Publications in Math-Net.Ru Citations
2020
1. N. O. Kotelina, A. B. Pevny, “Exponential convexity and total positivity”, Sib. Èlektron. Mat. Izv., 17 (2020),  802–806  mathnet  isi 2
2019
2. A. B. Pevnyi, S. M. Sitnik, “On generalizations of M. G. Krein, E. A. Gorin and Yu. V. Linnik inequalities for positive definite functions for multipoint case”, Sib. Èlektron. Mat. Izv., 16 (2019),  263–270  mathnet 1
2017
3. N. O. Kotelina, A. B. Pevnyi, “Complex spherical semi-designs”, Izv. Vyssh. Uchebn. Zaved. Mat., 2017, no. 5,  54–60  mathnet; Russian Math. (Iz. VUZ), 61:5 (2017), 46–51  isi  scopus 3
2016
4. A. B. Pevnyi, S. M. Sitnik, “Средние Джини”, Mat. Pros., Ser. 3, 20 (2016),  135–142  mathnet
2014
5. N. O. Kotelina, A. B. Pevnyi, “Sidelnikov inequality”, Algebra i Analiz, 26:2 (2014),  229–236  mathnet  mathscinet  elib; St. Petersburg Math. J., 26:2 (2015), 351–356  isi  scopus 1
2013
6. N. O. Kotelina, A. B. Pevnyi, “Weighted spherical semidesigns and cubature formulae for calculating integrals on a sphere”, Izv. Vyssh. Uchebn. Zaved. Mat., 2013, no. 2,  49–55  mathnet; Russian Math. (Iz. VUZ), 57:2 (2013), 42–47  scopus
2011
7. R. E. Afonin, A. B. Pevnyi, “A criterion for a spherical design associated with V. A. Yudin potentials”, Izv. Vyssh. Uchebn. Zaved. Mat., 2011, no. 12,  15–20  mathnet  mathscinet; Russian Math. (Iz. VUZ), 55:12 (2011), 11–15  scopus
2010
8. N. O. Kotelina, A. B. Pevnyĭ, “Extremal properties of spherical semidesigns”, Algebra i Analiz, 22:5 (2010),  131–139  mathnet  mathscinet  zmath; St. Petersburg Math. J., 22:5 (2011), 795–801  isi  scopus 6
2007
9. M. N. Istomina, A. B. Pevnyi, “О расположении точек на сфере и фрейме Мерседес–Бенц”, Mat. Pros., Ser. 3, 11 (2007),  105–112  mathnet 7
2004
10. A. B. Pevnyi, “Multiresolution analysis in the space $\ell^2(\mathbb Z)$ using discrete splines”, Sib. Zh. Vychisl. Mat., 7:3 (2004),  261–275  mathnet  zmath
2002
11. V. A. Zheludev, A. B. Pevnyi, “The Butterworth wavelet transform and its implementation with the use of recursive filters”, Zh. Vychisl. Mat. Mat. Fiz., 42:4 (2002),  597–608  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 42:4 (2002), 571–582
2001
12. V. A. Zheludev, A. B. Pevnyi, “Biorthogonal wavelet schemes based on discrete spline interpolation”, Zh. Vychisl. Mat. Mat. Fiz., 41:4 (2001),  537–548  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 41:4 (2001), 502–513 1
2000
13. V. A. Kirushev, V. N. Malozemov, A. B. Pevnyi, “Wavelet decomposition of the space of discrete periodic splines”, Mat. Zametki, 67:5 (2000),  712–720  mathnet  mathscinet  zmath; Math. Notes, 67:5 (2000), 603–610  isi 2
1998
14. A. B. Pevnyi, “Interpolation by discrete splines with equidistant nodes”, Algebra i Analiz, 10:6 (1998),  186–197  mathnet  mathscinet  zmath; St. Petersburg Math. J., 10:6 (1999), 1037–1045
15. V. N. Malozemov, A. B. Pevnyi, A. A. Tret'yakov, “Fast Wavelet Transform for Discrete Periodic Signals and Patterns”, Probl. Peredachi Inf., 34:2 (1998),  77–85  mathnet  mathscinet  zmath; Problems Inform. Transmission, 34:2 (1998), 161–168 5
16. V. N. Malozemov, A. B. Pevnyi, “Discrete periodic splines and their numerical applications”, Zh. Vychisl. Mat. Mat. Fiz., 38:8 (1998),  1235–1246  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 38:8 (1998), 1181–1192 8
1997
17. V. A. Kirushev, V. N. Malozemov, A. B. Pevnyĭ, “The dragon's tail”, Zh. Vychisl. Mat. Mat. Fiz., 37:11 (1997),  1362–1369  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 37:11 (1997), 1319–1327
1995
18. A. B. Pevnyĭ, “Spherical splines and interpolation on a sphere”, Zh. Vychisl. Mat. Mat. Fiz., 35:1 (1995),  139–143  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 35:1 (1995), 109–112  isi
1993
19. A. B. Pevnyi, “Green's function of the difference analogue of a polyharmonic operator and discrete splines”, Zh. Vychisl. Mat. Mat. Fiz., 33:12 (1993),  1894–1897  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 33:12 (1993), 1653–1655  isi
1992
20. A. B. Pevnyi, “Computation of Jacobi elliptic functions using a Gauss transformation”, Zh. Vychisl. Mat. Mat. Fiz., 32:11 (1992),  1837–1839  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 32:11 (1992), 1671–1674  isi
1990
21. A. B. Pevnyi, “Multidimensional natural splines of odd degree”, Mat. Zametki, 47:2 (1990),  65–68  mathnet  mathscinet  zmath; Math. Notes, 47:2 (1990), 158–161  isi
22. M. I. Ignatov, A. B. Pevnyi, “Reinsch's method for solving the smoothing problem in several dimensions”, Zh. Vychisl. Mat. Mat. Fiz., 30:2 (1990),  186–192  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 30:1 (1990), 137–142
1989
23. A. B. Pevnyĭ, “Some integral identities that are connected with splines of $n$ variables”, Izv. Vyssh. Uchebn. Zaved. Mat., 1989, no. 4,  51–55  mathnet  mathscinet  zmath; Soviet Math. (Iz. VUZ), 33:4 (1989), 62–67
1988
24. A. B. Pevnyi, “Optimality of a spline algorithm for finding the maximum of a class of functions of several variables”, Zh. Vychisl. Mat. Mat. Fiz., 28:1 (1988),  130–134  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 28:1 (1988), 87–90
1986
25. A. B. Pevnyĭ, “Optimality of certain spline algorithms”, Izv. Vyssh. Uchebn. Zaved. Mat., 1986, no. 5,  43–49  mathnet  mathscinet  zmath; Soviet Math. (Iz. VUZ), 30:5 (1986), 56–64 1
1982
26. A. B. Pevnyi, “Nonlinear interpolation problems for monosplines”, Izv. Vyssh. Uchebn. Zaved. Mat., 1982, no. 6,  37–39  mathnet  mathscinet  zmath
27. V. N. Malozemov, A. B. Pevnyi, “The most winding monosplines”, Sibirsk. Mat. Zh., 23:2 (1982),  128–134  mathnet  mathscinet  zmath; Siberian Math. J., 23:2 (1982), 237–242  isi
28. A. B. Pevnyi, “Optimal strategies for search of the maximum of a function with a bounded higher derivative”, Zh. Vychisl. Mat. Mat. Fiz., 22:5 (1982),  1061–1066  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 22:5 (1982), 38–44 2
29. A. B. Pevnyi, “On the best quadrature formula of Markov type in a class of functions”, Zh. Vychisl. Mat. Mat. Fiz., 22:3 (1982),  559–565  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 22:3 (1982), 65–72
1980
30. V. N. Malozemov, A. B. Pevnyi, “On the best quadrature formula for the class $W_1^{r+1}$”, Dokl. Akad. Nauk SSSR, 252:1 (1980),  37–40  mathnet  mathscinet  zmath 2
31. A. B. Pevnyi, “Estimates of minimal deviations in E. I. Zolotarev's problems connected with rational functions”, Izv. Vyssh. Uchebn. Zaved. Mat., 1980, no. 2,  59–62  mathnet  mathscinet  zmath; Soviet Math. (Iz. VUZ), 24:2 (1980), 60–64
1979
32. V. N. Malozemov, A. B. Pevnyi, “Spline interpolation”, Mat. Zametki, 26:6 (1979),  817–822  mathnet  mathscinet  zmath; Math. Notes, 26:6 (1979), 905–908  isi
1978
33. V. N. Malozemov, A. B. Pevnyi, “Approximation by splines of arbitrary defect”, Dokl. Akad. Nauk SSSR, 243:3 (1978),  572–575  mathnet  mathscinet  zmath
34. A. B. Pevnyi, “Convergence of the Newton–Seidel method”, Izv. Vyssh. Uchebn. Zaved. Mat., 1978, no. 1,  88–90  mathnet  mathscinet  zmath; Soviet Math. (Iz. VUZ), 22:1 (1978), 71–72
1977
35. A. B. Pevnyi, “Best approximation by piecewise parabolic functions”, Izv. Vyssh. Uchebn. Zaved. Mat., 1977, no. 12,  71–76  mathnet  mathscinet  zmath; Soviet Math. (Iz. VUZ), 21:12 (1977), 53–57
1975
36. A. M. Vershik, V. N. Malozemov, A. B. Pevnyi, “Best piecewise polynomial approximation”, Sibirsk. Mat. Zh., 16:5 (1975),  925–938  mathnet  mathscinet  zmath; Siberian Math. J., 16:5 (1975), 706–717  isi 5
1974
37. V. F. Dem'yanov, A. B. Pevnyi, “Expansion of extremal values of game problems with respect to a parameter”, Zh. Vychisl. Mat. Mat. Fiz., 14:5 (1974),  1118–1130  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 14:5 (1974), 33–45 7
1973
38. V. N. Malozemov, A. B. Pevnyi, “Alternant properties of the solutions of nonlinear minimax problems”, Dokl. Akad. Nauk SSSR, 212:1 (1973),  37–39  mathnet  mathscinet  zmath 1
39. A. B. Pevnyi, “Necessary conditions for the minimaximin”, Zh. Vychisl. Mat. Mat. Fiz., 13:4 (1973),  1037–1041  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 13:4 (1973), 263–268
1972
40. V. F. Dem'yanov, A. B. Pevnyi, “First and second marginal values of mathematical programming problems”, Dokl. Akad. Nauk SSSR, 207:2 (1972),  277–280  mathnet  mathscinet  zmath
41. V. F. Dem'yanov, A. B. Pevnyi, “Numerical methods for finding saddle points”, Zh. Vychisl. Mat. Mat. Fiz., 12:5 (1972),  1099–1127  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 12:5 (1972), 11–52 25
42. A. B. Pevnyi, “Minimization of maximin functions”, Zh. Vychisl. Mat. Mat. Fiz., 12:1 (1972),  227–230  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 12:1 (1972), 295–300
1971
43. A. B. Pevnyi, “Differentiation of a maximin function”, Zh. Vychisl. Mat. Mat. Fiz., 11:2 (1971),  510–514  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 11:2 (1971), 253–259

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