Polovinkin Vladimir Il'ich

Publications in Math-Net.Ru

1. Approximate calculations of Riesz integrals
   
   Mat. Tr., 12:2 (2009),  111–125
2. Asymptotics of the Errors of Complicated Cubature Formulas
   
   Mat. Tr., 7:2 (2004),  109–125
3. Sequences of Errors with Boundary Layer in Spaces of Univariate Functions with Fractional Riemann–Liouville Derivatives
   
   Mat. Tr., 5:2 (2002),  178–202
4. A formula for the functions realizing functionals
   
   Sibirsk. Mat. Zh., 42:4 (2001),  920–925
5. Realization of functionals on the spaces $L_p^m(E_n)$
   
   Sibirsk. Mat. Zh., 38:1 (1997),  166–172
6. Representation of linear functionals in $L_q^{m*}(\Omega)$
   
   Sibirsk. Mat. Zh., 36:1 (1995),  156–158
7. Realization of functionals in $L_q^{m^*}(\Omega)$
   
   Trudy Inst. Mat. SO RAN, 24 (1994),  167–172
8. Asymptotically optimal cubature weight formulas
   
   Sibirsk. Mat. Zh., 30:2 (1989),  151–160
9. Sequences of cubature formulas with periodic systems of nodes
   
   Sibirsk. Mat. Zh., 22:3 (1981),  147–155
10. Asymptotically optimal sequences of Hermitian cubature formulas
    
    Sibirsk. Mat. Zh., 19:3 (1978),  663–669
11. Asymptotically best sequences of cubature formulas
    
    Sibirsk. Mat. Zh., 16:6 (1975),  1255–1262
12. Asymptotic optimality of sequences of formulas with regular boundary layer for odd $m$
    
    Sibirsk. Mat. Zh., 16:2 (1975),  328–335
13. Sequences of functionals with boundary layer
    
    Sibirsk. Mat. Zh., 15:2 (1974),  413–429
14. A generalization of Sobolev's theory to cubature formulae that are exact for polynomials of degree not greater than $m-[\frac{n+1}2]$
    
    Sibirsk. Mat. Zh., 14:5 (1973),  1144–1148
15. The cubature formulas with a regular boundary layer
    
    Sibirsk. Mat. Zh., 13:4 (1972),  951–954
16. The polyharmonic equation in unbounded domains
    
    Dokl. Akad. Nauk SSSR, 201:2 (1971),  277–279
17. Exterior Dirichlet and Neumann problems for the polyharmonic equation
    
    Differ. Uravn., 7:1 (1971),  64–72
18. Certain questions of the theory of weight cubature formulae
    
    Sibirsk. Mat. Zh., 12:1 (1971),  177–196
19. Exterior problems for the polyharmonic equation
    
    Dokl. Akad. Nauk SSSR, 194:6 (1970),  1273–1276
20. Cubature formulae in $L_2^{(m)}(\Omega)$
    
    Dokl. Akad. Nauk SSSR, 190:1 (1970),  42–44
21. Some estimates of norms of functionals of cubature formula errors
    
    Mat. Zametki, 5:3 (1969),  317–322
22. Weighted cubature formulas
    
    Dokl. Akad. Nauk SSSR, 179:3 (1968),  542–544
23. Weighted cubature formulas for periodic functions
    
    Mat. Zametki, 3:3 (1968),  319–326