Babenko Vladislav Fedorovich

Publications in Math-Net.Ru

1. Kolmogorov-Type Inequalities for Norms of Riesz Derivatives of Functions of Several Variables with Laplacian Bounded in $L_\infty$ and Related Problems
   
   Mat. Zametki, 95:1 (2014),  3–17
2. Kolmogorov-type inequalities for the norms of Riesz derivatives of multivariable functions and some applications
   
   Trudy Inst. Mat. i Mekh. UrO RAN, 17:3 (2011),  60–70
3. On the Exact Values of the Best Approximations of Classes of Differentiable Periodic Functions by Splines
   
   Mat. Zametki, 87:5 (2010),  669–683
4. Sharp Estimates of the Norms of Fractional Derivatives of Functions of Several Variables Satisfying Hölder Conditions
   
   Mat. Zametki, 87:1 (2010),  26–34
5. Exact Values of Best Approximations for Classes of Periodic Functions by Splines of Deficiency 2
   
   Mat. Zametki, 85:4 (2009),  538–551
6. On inequalities of Landau–Kolmogorov–Hörmander type on the semi-axis
   
   Mat. Zametki, 65:2 (1999),  175–185
7. Additive inequalities for intermediate derivatives of differentiable mappings of Banach spaces
   
   Mat. Zametki, 63:3 (1998),  332–342
8. Приближения в среднем некоторых классов непрерывных периодических функций
   
   Izv. Vyssh. Uchebn. Zaved. Mat., 1995, no. 2,  13–21
9. The best $L_1$-approximations by splines in the presence of restrictions on their derivatives
   
   Mat. Zametki, 51:5 (1992),  12–19
10. On best uniform approximations by splines in the presence of restrictions on their derivatives
    
    Mat. Zametki, 50:6 (1991),  24–30
11. Best approximation estimates resulting from the Chebyshev criterion
    
    Mat. Zametki, 49:4 (1991),  148–150
12. Approximation of classes of functions defined by means of the modulus of continuity
    
    Dokl. Akad. Nauk SSSR, 298:6 (1988),  1296–1299
13. Approximation of convolution classes
    
    Sibirsk. Mat. Zh., 28:5 (1987),  6–21
14. On inequalities for polynomials with real roots
    
    Trudy Mat. Inst. Steklov., 180 (1987),  35–36
15. Nonsymetric approximations and inequalities for rearrangements in extremal problems of approximation theory
    
    Trudy Mat. Inst. Steklov., 180 (1987),  33–35
16. Extremal problems in approximation theory and inequalities for rearrangements
    
    Dokl. Akad. Nauk SSSR, 290:5 (1986),  1033–1036
17. An exact inequality for the derivative of a trigonometric polynomial having only real zeros
    
    Mat. Zametki, 39:3 (1986),  330–336
18. Polynomials of fixed sign that deviate least from zero in the spaces $L_p$
    
    Mat. Zametki, 37:2 (1985),  176–185
19. Inequalities for rearrangements of differentiable periodic functions, and problems of approximation and approximate integration
    
    Dokl. Akad. Nauk SSSR, 272:5 (1983),  1038–1041
20. Nonsymmetric extremal problems in approximation theory
    
    Dokl. Akad. Nauk SSSR, 269:3 (1983),  521–524
21. Best linear approximation of some classes of differentiable periodic functions
    
    Mat. Zametki, 27:5 (1980),  683–689
22. Interpolation of continuous maps by piecewise-linear maps
    
    Mat. Zametki, 24:1 (1978),  43–52
23. Faithful asymptotics of remainders optimal for some glasses of functions with cubic weight formulas
    
    Mat. Zametki, 20:4 (1976),  589–595
24. The order of the best one-sided approximation by polynomials and splines in the $L_p$-metric
    
    Mat. Zametki, 19:3 (1976),  323–329
25. Asymptotically sharp bounds for the remainder for the best quadrature formulas for several classes of functions
    
    Mat. Zametki, 19:3 (1976),  313–322
26. Interpolation by polyhedral functions
    
    Mat. Zametki, 18:6 (1975),  803–814