Shevaldin Valerii Trifonovich

Publications in Math-Net.Ru

1. Sufficient conditions for the existence of the solution of an infinite-difference equation with variable coefficients
   
   Chebyshevskii Sb., 25:2 (2024),  243–250
2. Yu. N. Subbotin's Method in the Problem of Extremal Interpolation in the Mean in the Space $L_p(\mathbb R)$ with Overlapping Averaging Intervals
   
   Mat. Zametki, 115:6 (2024),  919–934
3. Extremal Interpolation in the Mean in the Space $L_1(\mathbb R)$ with Overlapping Averaging Intervals
   
   Mat. Zametki, 115:1 (2024),  123–136
4. Local Extremal Interpolation on the Semiaxis with the Least Value of the Norm for a Linear Differential Operator
   
   Mat. Zametki, 113:3 (2023),  453–460
5. Extremal interpolation in the mean with overlapping averaging intervals and the smallest norm of a linear differential operator
   
   Trudy Inst. Mat. i Mekh. UrO RAN, 29:1 (2023),  219–232
6. On Favard local parabolic interpolating splines with additional knots
   
   Zh. Vychisl. Mat. Mat. Fiz., 63:6 (2023),  979–986
7. Extremal interpolation with the least value of the norm of the second derivative in $L_p(\mathbb R)$
   
   Izv. RAN. Ser. Mat., 86:1 (2022),  219–236
8. Extremal functional $L_p$-interpolation on an arbitrary mesh on the real axis
   
   Mat. Sb., 213:4 (2022),  123–144
9. On Yu. N. Subbotin's Circle of Ideas in the Problem of Local Extremal Interpolation on the Semiaxis
   
   Trudy Inst. Mat. i Mekh. UrO RAN, 28:4 (2022),  237–249
10. Subbotin's splines in the problem of extremal interpolation in the space $L_p$ for second-order linear differential operators
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 27:4 (2021),  255–262
11. Local approximation by parabolic splines in the mean with large averaging intervals
    
    Mat. Zametki, 108:5 (2020),  771–781
12. Extremal interpolation on the semiaxis with the smallest norm of the third derivative
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 26:4 (2020),  210–223
13. On the connection between the second divided difference and the second derivative
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 26:2 (2020),  216–224
14. Algorithms for the construction of third-order local exponential splines with equidistant knots
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 25:3 (2019),  279–287
15. A Method for the Construction of Local Parabolic Splines with Additional Knots
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 25:2 (2019),  205–219
16. Extremal functional interpolation and splines
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 24:3 (2018),  200–225
17. On integral Lebesgue constants of local splines with uniform knots
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 24:2 (2018),  290–297
18. The Lebesgue constant of local cubic splines with equally-spaced knots
    
    Sib. Zh. Vychisl. Mat., 20:4 (2017),  445–451
19. Uniform Lebesgue constants of local spline approximation
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 23:3 (2017),  292–299
20. Calibration relations for analogues of the basis splines with uniform nodes
    
    Ural Math. J., 3:1 (2017),  76–80
21. A method for the construction of analogs of wavelets by means of trigonometric $B$-splines
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 22:4 (2016),  320–327
22. On uniform Lebesgue constants of third-order local trigonometric splines
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 22:2 (2016),  245–254
23. Upper bounds for uniform Lebesgue constants of interpolational periodic sourcewise representable splines
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 21:4 (2015),  309–315
24. On uniform Lebesgue constants of local exponential splines with equidistant knots
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 21:4 (2015),  261–272
25. Two-scale relations for $B$-$\mathcal L$-splines with uniform knots
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 21:4 (2015),  234–243
26. On Lebesgue constants of local parabolic splines
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 21:1 (2015),  213–219
27. Local exponential splines with arbitrary knots
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 20:1 (2014),  258–263
28. Shape preserving conditions for quadratic spline interpolation in the sense of Subbotin and Marsden
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 18:4 (2012),  145–152
29. Orders of approximation by local exponential splines
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 18:4 (2012),  135–144
30. Local approximation by splines with displacement of nodes
    
    Mat. Tr., 14:2 (2011),  73–82
31. Two-scale relations for analogs of basis splines of small degrees
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 17:3 (2011),  319–323
32. Form preservation under approximation by local exponential splines of an arbitrary order
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 17:3 (2011),  291–299
33. Shape-Preserving Interpolation by Cubic Splines
    
    Mat. Zametki, 88:6 (2010),  836–844
34. Approximation by local $\mathcal L$-splines that are exact on subspaces of the kernel of a differential operator
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 16:4 (2010),  272–280
35. Approximation by third-order local $\mathcal L$-splines with uniform nodes
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 16:4 (2010),  156–165
36. Approximation by local $L$-splines corresponding to a linear differential operator of the second order
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 12:2 (2006),  195–213
37. Approximation by local trigonometric splines
    
    Mat. Zametki, 77:3 (2005),  354–363
38. Approximation by local parabolic splines with arbitrary knots
    
    Sib. Zh. Vychisl. Mat., 8:1 (2005),  77–88
39. The Jackson–Stechkin inequality in the space $C(\mathbb T)$ with trigonometric continuity modulus annihilating the first harmonics
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 7:1 (2001),  231–237
40. A problem of extremal interpolation for multivariate functions
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 7:1 (2001),  144–159
41. The Jackson–Stechkin inequality in $L^2$ with a trigonometric modulus of continuity
    
    Mat. Zametki, 65:6 (1999),  928–932
42. Extremal interpolation in the mean with overlapping averaging intervals and $L$-splines
    
    Izv. RAN. Ser. Mat., 62:4 (1998),  201–224
43. Lower estimates of the widths of the classes of functions defined by a modulus of continuity
    
    Izv. RAN. Ser. Mat., 58:5 (1994),  172–188
44. Interpolating periodic splines and widths of classes of functions with a bounded noninteger derivative
    
    Dokl. Akad. Nauk, 328:3 (1993),  296–298
45. Lower bounds for the widths of classes of periodic functions with a bounded fractional derivative
    
    Mat. Zametki, 53:2 (1993),  145–151
46. Widths of classes of convolutions with Poisson kernel
    
    Mat. Zametki, 51:6 (1992),  126–136
47. Lower estimations of widths some classes of periodic functions
    
    Trudy Mat. Inst. Steklov., 198 (1992),  242–267
48. Lower bounds on widths of classes of sourcewise representable functions
    
    Trudy Mat. Inst. Steklov., 189 (1989),  185–200
49. $\mathscr L$-Splines and widths
    
    Mat. Zametki, 33:5 (1983),  735–744
50. Some problems of extremal interpolation in the mean for linear differential operators
    
    Trudy Mat. Inst. Steklov., 164 (1983),  203–240
51. Some problems of extremal interpolation in the mean
    
    Dokl. Akad. Nauk SSSR, 267:4 (1982),  803–805
52. A problem of extremal interpolation
    
    Mat. Zametki, 29:4 (1981),  603–622
53. Extremal interpolation with least norm of linear differential operator
    
    Mat. Zametki, 27:5 (1980),  721–740


54. Yurii Nikolaevich Subbotin (A Tribute to His Memory)
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 28:4 (2022),  9–16
55. Yurii Nikolaevich Subbotin (on his 70th birthday)
    
    Uspekhi Mat. Nauk, 62:2(374) (2007),  187–190