Maiorov Vitalii Evgen'evich

Publications in Math-Net.Ru

1. Some problems in the theory of ridge functions
   
   Trudy Mat. Inst. Steklova, 301 (2018),  155–181
2. Widths of some classes of convex functions and bodies
   
   Izv. RAN. Ser. Mat., 74:1 (2010),  135–158
3. Kolmogorov's $(n,\delta)$-widths of spaces of smooth functions
   
   Mat. Sb., 184:7 (1993),  49–70
4. Widths of spaces equipped with a Gaussian measure
   
   Dokl. Akad. Nauk, 323:2 (1992),  233–237
5. Existence of solutions of singular differential equations of higher orders
   
   Mat. Zametki, 51:3 (1992),  75–84
6. Integral and Kolmogorov widths of classes of differentiable functions
   
   Dokl. Akad. Nauk SSSR, 318:5 (1991),  1082–1085
7. Multiplicative inequalities for derivatives, and a priori estimates of smoothness of solutions of nonlinear differential equations
   
   Mat. Sb., 182:7 (1991),  1009–1023
8. A multiplicative inequality for derivatives, and its applications
   
   Dokl. Akad. Nauk SSSR, 315:2 (1990),  296–298
9. Bernshtein–Nikol'skii inequalities and estimates of the norms of Dirichlet kernels for trigonometric polynomials over arbitrary harmonics
   
   Mat. Zametki, 47:6 (1990),  55–61
10. On inequalities of Bernstein–Nikol'ski type
    
    Trudy Mat. Inst. Steklov., 180 (1987),  155–156
11. Trigonometric diameters of the Sobolev classes $W^r_p$ in the space $L_p$
    
    Mat. Zametki, 40:2 (1986),  161–173
12. Diameters of classes of functions defined on a line
    
    Mat. Zametki, 34:3 (1983),  355–366
13. On a modification of the Bernstein–Nikol'skij inequality for trigonometric polynomials
    
    Dokl. Akad. Nauk SSSR, 258:1 (1981),  23–26
14. On linear widths of Sobolev classes and chains of extremal subspaces
    
    Mat. Sb. (N.S.), 113(155):3(11) (1980),  437–463
15. Extremal chains of subspaces for kolmogorov and linear diameters
    
    Funktsional. Anal. i Prilozhen., 13:3 (1979),  91–92
16. On linear diameters of Sobolev classes
    
    Dokl. Akad. Nauk SSSR, 243:5 (1978),  1127–1130
17. Various widths of the class $H_p^r$ in the space $L_q$
    
    Izv. Akad. Nauk SSSR Ser. Mat., 42:4 (1978),  773–788
18. Theorems of representation and best approximation in the classes $W_p^r$ and $H_p^r$
    
    Dokl. Akad. Nauk SSSR, 228:2 (1976),  293–296
19. The best approximation of classes $W_1^r(I^s)$ in the space $L_\infty(I^s)$
    
    Mat. Zametki, 19:5 (1976),  699–706
20. Discretization of the problem of diameters
    
    Uspekhi Mat. Nauk, 30:6(186) (1975),  179–180
21. Multidimensional piecewise polynomial approximation on classes of functions with a dominant mixed derivative
    
    Mat. Sb. (N.S.), 98(140):2(10) (1975),  298–318


22. Letter to the Editor
    
    Mat. Sb. (N.S.), 119(161):2(10) (1982),  301