Pevnyi Aleksandr Borisovich

Publications in Math-Net.Ru

1. Exponential convexity and total positivity
   
   Sib. Èlektron. Mat. Izv., 17 (2020),  802–806
2. 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
3. Complex spherical semi-designs
   
   Izv. Vyssh. Uchebn. Zaved. Mat., 2017, no. 5,  54–60
4. Средние Джини
   
   Mat. Pros., Ser. 3, 20 (2016),  135–142
5. Sidelnikov inequality
   
   Algebra i Analiz, 26:2 (2014),  229–236
6. Weighted spherical semidesigns and cubature formulae for calculating integrals on a sphere
   
   Izv. Vyssh. Uchebn. Zaved. Mat., 2013, no. 2,  49–55
7. A criterion for a spherical design associated with V. A. Yudin potentials
   
   Izv. Vyssh. Uchebn. Zaved. Mat., 2011, no. 12,  15–20
8. Extremal properties of spherical semidesigns
   
   Algebra i Analiz, 22:5 (2010),  131–139
9. О расположении точек на сфере и фрейме Мерседес–Бенц
   
   Mat. Pros., Ser. 3, 11 (2007),  105–112
10. Multiresolution analysis in the space $\ell^2(\mathbb Z)$ using discrete splines
    
    Sib. Zh. Vychisl. Mat., 7:3 (2004),  261–275
11. The Butterworth wavelet transform and its implementation with the use of recursive filters
    
    Zh. Vychisl. Mat. Mat. Fiz., 42:4 (2002),  597–608
12. Biorthogonal wavelet schemes based on discrete spline interpolation
    
    Zh. Vychisl. Mat. Mat. Fiz., 41:4 (2001),  537–548
13. Wavelet decomposition of the space of discrete periodic splines
    
    Mat. Zametki, 67:5 (2000),  712–720
14. Interpolation by discrete splines with equidistant nodes
    
    Algebra i Analiz, 10:6 (1998),  186–197
15. Fast Wavelet Transform for Discrete Periodic Signals and Patterns
    
    Probl. Peredachi Inf., 34:2 (1998),  77–85
16. Discrete periodic splines and their numerical applications
    
    Zh. Vychisl. Mat. Mat. Fiz., 38:8 (1998),  1235–1246
17. The dragon's tail
    
    Zh. Vychisl. Mat. Mat. Fiz., 37:11 (1997),  1362–1369
18. Spherical splines and interpolation on a sphere
    
    Zh. Vychisl. Mat. Mat. Fiz., 35:1 (1995),  139–143
19. Green's function of the difference analogue of a polyharmonic operator and discrete splines
    
    Zh. Vychisl. Mat. Mat. Fiz., 33:12 (1993),  1894–1897
20. Computation of Jacobi elliptic functions using a Gauss transformation
    
    Zh. Vychisl. Mat. Mat. Fiz., 32:11 (1992),  1837–1839
21. Multidimensional natural splines of odd degree
    
    Mat. Zametki, 47:2 (1990),  65–68
22. Reinsch's method for solving the smoothing problem in several dimensions
    
    Zh. Vychisl. Mat. Mat. Fiz., 30:2 (1990),  186–192
23. Some integral identities that are connected with splines of $n$ variables
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 1989, no. 4,  51–55
24. 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
25. Optimality of certain spline algorithms
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 1986, no. 5,  43–49
26. Nonlinear interpolation problems for monosplines
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 1982, no. 6,  37–39
27. The most winding monosplines
    
    Sibirsk. Mat. Zh., 23:2 (1982),  128–134
28. 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
29. On the best quadrature formula of Markov type in a class of functions
    
    Zh. Vychisl. Mat. Mat. Fiz., 22:3 (1982),  559–565
30. On the best quadrature formula for the class $W_1^{r+1}$
    
    Dokl. Akad. Nauk SSSR, 252:1 (1980),  37–40
31. Estimates of minimal deviations in E. I. Zolotarev's problems connected with rational functions
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 1980, no. 2,  59–62
32. Spline interpolation
    
    Mat. Zametki, 26:6 (1979),  817–822
33. Approximation by splines of arbitrary defect
    
    Dokl. Akad. Nauk SSSR, 243:3 (1978),  572–575
34. Convergence of the Newton–Seidel method
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 1978, no. 1,  88–90
35. Best approximation by piecewise parabolic functions
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 1977, no. 12,  71–76
36. Best piecewise polynomial approximation
    
    Sibirsk. Mat. Zh., 16:5 (1975),  925–938
37. Expansion of extremal values of game problems with respect to a parameter
    
    Zh. Vychisl. Mat. Mat. Fiz., 14:5 (1974),  1118–1130
38. Alternant properties of the solutions of nonlinear minimax problems
    
    Dokl. Akad. Nauk SSSR, 212:1 (1973),  37–39
39. Necessary conditions for the minimaximin
    
    Zh. Vychisl. Mat. Mat. Fiz., 13:4 (1973),  1037–1041
40. First and second marginal values of mathematical programming problems
    
    Dokl. Akad. Nauk SSSR, 207:2 (1972),  277–280
41. Numerical methods for finding saddle points
    
    Zh. Vychisl. Mat. Mat. Fiz., 12:5 (1972),  1099–1127
42. Minimization of maximin functions
    
    Zh. Vychisl. Mat. Mat. Fiz., 12:1 (1972),  227–230
43. Differentiation of a maximin function
    
    Zh. Vychisl. Mat. Mat. Fiz., 11:2 (1971),  510–514