Nevskii Mikhail Viktorovich

Publications in Math-Net.Ru

1. Estimation of interpolation projectors using Legendre polynomials
   
   Model. Anal. Inform. Sist., 31:3 (2024),  316–337
2. On a geometric approach to the estimation of interpolation projectors
   
   Model. Anal. Inform. Sist., 30:3 (2023),  246–257
3. On the Minimal Norm of the Projection Operator for Linear Interpolation on the $n$-Dimensional Ball
   
   Mat. Zametki, 114:3 (2023),  477–480
4. On some estimate for the norm of an interpolation projector
   
   Model. Anal. Inform. Sist., 29:2 (2022),  92–103
5. On properties of a regular simplex inscribed into a ball
   
   Model. Anal. Inform. Sist., 28:2 (2021),  186–197
6. Geometric estimates in interpolation on an $n$-dimensional ball
   
   Model. Anal. Inform. Sist., 26:3 (2019),  441–449
7. Linear interpolation on a Euclidean ball in ${\mathbb R}^n$
   
   Model. Anal. Inform. Sist., 26:2 (2019),  279–296
8. Properties of $(0,1)$-matrices of order $n$ having maximal determinant
   
   Mathematical notes of NEFU, 26:2 (2019),  109–115
9. Some properties of $0/1$-simplices
   
   Izv. Saratov Univ. Math. Mech. Inform., 18:3 (2018),  305–315
10. On some problems for a simplex and a ball in ${\mathbb R}^n$
    
    Model. Anal. Inform. Sist., 25:6 (2018),  680–691
11. On optimal interpolation by linear functions on an $n$-dimensional cube
    
    Model. Anal. Inform. Sist., 25:3 (2018),  291–311
12. On minimal absorption index for an $n$-dimensional simplex
    
    Model. Anal. Inform. Sist., 25:1 (2018),  140–150
13. On $n$-dimensional simplices satisfying inclusions $S\subset [0,1]^n\subset nS$
    
    Model. Anal. Inform. Sist., 24:5 (2017),  578–595
14. New estimates of numerical values related to a simplex
    
    Model. Anal. Inform. Sist., 24:1 (2017),  94–110
15. On numerical characteristics of а simplex and their estimates
    
    Model. Anal. Inform. Sist., 23:5 (2016),  603–619
16. Computation of the longest segment of a given direction in a simplex
    
    Fundam. Prikl. Mat., 18:2 (2013),  147–152
17. On Some Problem for a Simplex and a Cube in ${\mathbb R}^n$
    
    Model. Anal. Inform. Sist., 20:3 (2013),  77–85
18. On the Minimal Positive Homothetic Image of a Simplex Containing a Convex Body
    
    Mat. Zametki, 93:3 (2013),  448–456
19. Yaroslavl International Conference on Discrete Geometry (dedicated to the centenary of A. D. Alexandrov)
    
    Model. Anal. Inform. Sist., 19:6 (2012),  92–100
20. On Some Results in the Geometry of Convex Bodies and their Applications
    
    Model. Anal. Inform. Sist., 19:3 (2012),  113–123
21. On the Lassak conjecture for a convex body
    
    Model. Anal. Inform. Sist., 18:3 (2011),  5–11
22. On geometric characteristics of an $n$-dimensional simplex
    
    Model. Anal. Inform. Sist., 18:2 (2011),  52–64
23. Geometric estimates in the polynomial interpolation
    
    Model. Anal. Inform. Sist., 18:1 (2011),  142–148
24. On the Axial Diameters of a Convex Body
    
    Mat. Zametki, 90:2 (2011),  313–315
25. On a Property of $n$-Dimensional Simplices
    
    Mat. Zametki, 87:4 (2010),  580–593
26. On a certain relation for the minimal norm of an interpolational projection
    
    Model. Anal. Inform. Sist., 16:1 (2009),  24–43
27. On the equivalence constants for some norms on the spaces of algebraic polynomials
    
    Model. Anal. Inform. Sist., 15:4 (2008),  65–80
28. Inequalities for the norms of interpolating projections
    
    Model. Anal. Inform. Sist., 15:3 (2008),  28–37
29. Orthogonal projection and minimal linear interpolation on a $n$-dimensional cube
    
    Model. Anal. Inform. Sist., 14:3 (2007),  8–28
30. Minimal projections and largest simplices
    
    Model. Anal. Inform. Sist., 14:1 (2007),  3–10


31. International Conference “Geometry, Topology, and Applications”
    
    Model. Anal. Inform. Sist., 20:6 (2013),  95–102