Shevaldin Valerii Trifonovich

Publications in Math-Net.Ru

1. On the relationship between the second divided difference and the second derivative in the problem of extremal interpolation in the mean
   
   Chebyshevskii Sb., 26:1 (2025),  131–141
2. The Golomb–de Bohr problem of extremal interpolation in the mean with the least value of the norm of the second derivative in $L^1(\mathbb R)$
   
   Mat. Zametki, 118:6 (2025),  943–950
3. The Jackson–Stechkin Inequality in the Space $C$ with Nonclassic Modulus of Continuity
   
   Mat. Zametki, 118:2 (2025),  325–329
4. Sufficient conditions for the existence of the solution of an infinite-difference equation with variable coefficients
   
   Chebyshevskii Sb., 25:2 (2024),  243–250
5. 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
6. Extremal Interpolation in the Mean in the Space $L_1(\mathbb R)$ with Overlapping Averaging Intervals
   
   Mat. Zametki, 115:1 (2024),  123–136
7. 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
8. 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
9. On Favard local parabolic interpolating splines with additional knots
   
   Zh. Vychisl. Mat. Mat. Fiz., 63:6 (2023),  979–986
10. 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
11. Extremal functional $L_p$-interpolation on an arbitrary mesh on the real axis
    
    Mat. Sb., 213:4 (2022),  123–144
12. 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
13. 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
14. Local approximation by parabolic splines in the mean with large averaging intervals
    
    Mat. Zametki, 108:5 (2020),  771–781
15. 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
16. On the connection between the second divided difference and the second derivative
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 26:2 (2020),  216–224
17. 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
18. A Method for the Construction of Local Parabolic Splines with Additional Knots
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 25:2 (2019),  205–219
19. Extremal functional interpolation and splines
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 24:3 (2018),  200–225
20. On integral Lebesgue constants of local splines with uniform knots
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 24:2 (2018),  290–297
21. The Lebesgue constant of local cubic splines with equally-spaced knots
    
    Sib. Zh. Vychisl. Mat., 20:4 (2017),  445–451
22. Uniform Lebesgue constants of local spline approximation
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 23:3 (2017),  292–299
23. Calibration relations for analogues of the basis splines with uniform nodes
    
    Ural Math. J., 3:1 (2017),  76–80
24. 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
25. On uniform Lebesgue constants of third-order local trigonometric splines
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 22:2 (2016),  245–254
26. Upper bounds for uniform Lebesgue constants of interpolational periodic sourcewise representable splines
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 21:4 (2015),  309–315
27. On uniform Lebesgue constants of local exponential splines with equidistant knots
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 21:4 (2015),  261–272
28. Two-scale relations for $B$-$\mathcal L$-splines with uniform knots
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 21:4 (2015),  234–243
29. On Lebesgue constants of local parabolic splines
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 21:1 (2015),  213–219
30. Local exponential splines with arbitrary knots
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 20:1 (2014),  258–263
31. 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
32. Orders of approximation by local exponential splines
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 18:4 (2012),  135–144
33. Local approximation by splines with displacement of nodes
    
    Mat. Tr., 14:2 (2011),  73–82
34. Two-scale relations for analogs of basis splines of small degrees
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 17:3 (2011),  319–323
35. Form preservation under approximation by local exponential splines of an arbitrary order
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 17:3 (2011),  291–299
36. Shape-Preserving Interpolation by Cubic Splines
    
    Mat. Zametki, 88:6 (2010),  836–844
37. 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
38. Approximation by third-order local $\mathcal L$-splines with uniform nodes
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 16:4 (2010),  156–165
39. 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
40. Approximation by local trigonometric splines
    
    Mat. Zametki, 77:3 (2005),  354–363
41. Approximation by local parabolic splines with arbitrary knots
    
    Sib. Zh. Vychisl. Mat., 8:1 (2005),  77–88
42. 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
43. A problem of extremal interpolation for multivariate functions
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 7:1 (2001),  144–159
44. The Jackson–Stechkin inequality in $L^2$ with a trigonometric modulus of continuity
    
    Mat. Zametki, 65:6 (1999),  928–932
45. Extremal interpolation in the mean with overlapping averaging intervals and $L$-splines
    
    Izv. RAN. Ser. Mat., 62:4 (1998),  201–224
46. 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
47. Interpolating periodic splines and widths of classes of functions with a bounded noninteger derivative
    
    Dokl. Akad. Nauk, 328:3 (1993),  296–298
48. Lower bounds for the widths of classes of periodic functions with a bounded fractional derivative
    
    Mat. Zametki, 53:2 (1993),  145–151
49. Widths of classes of convolutions with Poisson kernel
    
    Mat. Zametki, 51:6 (1992),  126–136
50. Lower estimations of widths some classes of periodic functions
    
    Trudy Mat. Inst. Steklov., 198 (1992),  242–267
51. Lower bounds on widths of classes of sourcewise representable functions
    
    Trudy Mat. Inst. Steklov., 189 (1989),  185–200
52. $\mathscr L$-Splines and widths
    
    Mat. Zametki, 33:5 (1983),  735–744
53. Some problems of extremal interpolation in the mean for linear differential operators
    
    Trudy Mat. Inst. Steklov., 164 (1983),  203–240
54. Some problems of extremal interpolation in the mean
    
    Dokl. Akad. Nauk SSSR, 267:4 (1982),  803–805
55. A problem of extremal interpolation
    
    Mat. Zametki, 29:4 (1981),  603–622
56. Extremal interpolation with least norm of linear differential operator
    
    Mat. Zametki, 27:5 (1980),  721–740


57. Evgeny Georgievich Pytkeev
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 31:1 (2025),  9–18
58. Yurii Nikolaevich Subbotin (A Tribute to His Memory)
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 28:4 (2022),  9–16
59. Yurii Nikolaevich Subbotin (on his 70th birthday)
    
    Uspekhi Mat. Nauk, 62:2(374) (2007),  187–190