Publications in Math-Net.Ru |
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2020 |
1. |
V. T. Shevaldin, “Local approximation by parabolic splines in the mean with large averaging intervals”, Mat. Zametki, 108:5 (2020), 771–781 ; Math. Notes, 108:5 (2020), 733–742 |
2. |
S. I. Novikov, V. T. Shevaldin, “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 |
3. |
S. I. Novikov, V. T. Shevaldin, “On the connection between the second divided difference and the second derivative”, Trudy Inst. Mat. i Mekh. UrO RAN, 26:2 (2020), 216–224 |
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2019 |
4. |
V. T. Shevaldin, “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 |
5. |
Yu. N. Subbotin, V. T. Shevaldin, “A method of construction of local parabolic splines with additional knots”, Trudy Inst. Mat. i Mekh. UrO RAN, 25:2 (2019), 205–219 |
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2018 |
6. |
Yu. N. Subbotin, S. I. Novikov, V. T. Shevaldin, “Extremal functional interpolation and splines”, Trudy Inst. Mat. i Mekh. UrO RAN, 24:3 (2018), 200–225 |
7. |
V. T. Shevaldin, “On integral Lebesgue constants of local splines with uniform knots”, Trudy Inst. Mat. i Mekh. UrO RAN, 24:2 (2018), 290–297 ; Proc. Steklov Inst. Math. (Suppl.), 305, suppl. 1 (2019), S158–S165 |
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2017 |
8. |
V. T. Shevaldin, O. Ya. Shevaldina, “The Lebesgue constant of local cubic splines with equally-spaced knots”, Sib. Zh. Vychisl. Mat., 20:4 (2017), 445–451 ; Num. Anal. Appl., 10:4 (2017), 362–367 |
9. |
V. T. Shevaldin, “Uniform Lebesgue constants of local spline approximation”, Trudy Inst. Mat. i Mekh. UrO RAN, 23:3 (2017), 292–299 ; Proc. Steklov Inst. Math. (Suppl.), 303, suppl. 1 (2018), 196–202 |
10. |
Valerii T. Shevaldin, “Calibration relations for analogues of the basis splines with uniform nodes”, Ural Math. J., 3:1 (2017), 76–80 |
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2016 |
11. |
V. T. Shevaldin, “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 ; Proc. Steklov Inst. Math. (Suppl.), 300, suppl. 1 (2018), 165–171 |
12. |
E. V. Strelkova, V. T. Shevaldin, “On uniform Lebesgue constants of third-order local trigonometric splines”, Trudy Inst. Mat. i Mekh. UrO RAN, 22:2 (2016), 245–254 |
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2015 |
13. |
V. T. Shevaldin, O. Ya. Shevaldina, “Upper bounds for uniform Lebesgue constants of interpolational periodic sourcewise representable splines”, Trudy Inst. Mat. i Mekh. UrO RAN, 21:4 (2015), 309–315 ; Proc. Steklov Inst. Math. (Suppl.), 297, suppl. 1 (2017), 175–181 |
14. |
E. V. Strelkova, V. T. Shevaldin, “On uniform Lebesgue constants of local exponential splines with equidistant knots”, Trudy Inst. Mat. i Mekh. UrO RAN, 21:4 (2015), 261–272 ; Proc. Steklov Inst. Math. (Suppl.), 296, suppl. 1 (2017), 206–217 |
15. |
E. G. Pytkeev, V. T. Shevaldin, “Two-scale relations for $B$-$\mathcal L$-splines with uniform knots”, Trudy Inst. Mat. i Mekh. UrO RAN, 21:4 (2015), 234–243 ; Proc. Steklov Inst. Math. (Suppl.), 296, suppl. 1 (2017), 186–195 |
16. |
E. V. Strelkova, V. T. Shevaldin, “On Lebesgue constants of local parabolic splines”, Trudy Inst. Mat. i Mekh. UrO RAN, 21:1 (2015), 213–219 ; Proc. Steklov Inst. Math. (Suppl.), 289, suppl. 1 (2015), 192–198 |
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2014 |
17. |
E. V. Strelkova, V. T. Shevaldin, “Local exponential splines with arbitrary knots”, Trudy Inst. Mat. i Mekh. UrO RAN, 20:1 (2014), 258–263 ; Proc. Steklov Inst. Math. (Suppl.), 288, suppl. 1 (2015), 189–194 |
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2012 |
18. |
Yu. S. Volkov, V. T. Shevaldin, “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 |
19. |
Yu. S. Volkov, E. G. Pytkeev, V. T. Shevaldin, “Orders of approximation by local exponential splines”, Trudy Inst. Mat. i Mekh. UrO RAN, 18:4 (2012), 135–144 ; Proc. Steklov Inst. Math. (Suppl.), 284, suppl. 1 (2014), 175–184 |
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2011 |
20. |
Yu. S. Volkov, E. V. Strelkova, V. T. Shevaldin, “Local approximation by splines with displacement of nodes”, Mat. Tr., 14:2 (2011), 73–82 ; Siberian Adv. Math., 23:1 (2013), 69–75 |
21. |
V. T. Shevaldin, “Two-scale relations for analogs of basis splines of small degrees”, Trudy Inst. Mat. i Mekh. UrO RAN, 17:3 (2011), 319–323 |
22. |
E. V. Strelkova, V. T. Shevaldin, “Form preservation under approximation by local exponential splines of an arbitrary order”, Trudy Inst. Mat. i Mekh. UrO RAN, 17:3 (2011), 291–299 ; Proc. Steklov Inst. Math. (Suppl.), 277, suppl. 1 (2012), 171–179 |
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2010 |
23. |
Yu. S. Volkov, V. V. Bogdanov, V. L. Miroshnichenko, V. T. Shevaldin, “Shape-Preserving Interpolation by Cubic Splines”, Mat. Zametki, 88:6 (2010), 836–844 ; Math. Notes, 88:6 (2010), 798–805 |
24. |
E. V. Strelkova, V. T. Shevaldin, “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 ; Proc. Steklov Inst. Math. (Suppl.), 273, suppl. 1 (2011), S133–S141 |
25. |
P. G. Zhdanov, V. T. Shevaldin, “Approximation by third-order local $\mathcal L$-splines with uniform nodes”, Trudy Inst. Mat. i Mekh. UrO RAN, 16:4 (2010), 156–165 |
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2006 |
26. |
V. T. Shevaldin, “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 ; Proc. Steklov Inst. Math. (Suppl.), 255, suppl. 2 (2006), S178–S197 |
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2005 |
27. |
K. V. Kostousov, V. T. Shevaldin, “Approximation by local trigonometric splines”, Mat. Zametki, 77:3 (2005), 354–363 ; Math. Notes, 77:3 (2005), 326–334 |
28. |
V. T. Shevaldin, “Approximation by local parabolic splines with arbitrary knots”, Sib. Zh. Vychisl. Mat., 8:1 (2005), 77–88 |
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2001 |
29. |
V. T. Shevaldin, “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 ; Proc. Steklov Inst. Math. (Suppl.), 2001no. , suppl. 1, S206–S213 |
30. |
S. I. Novikov, V. T. Shevaldin, “A problem of extremal interpolation for multivariate functions”, Trudy Inst. Mat. i Mekh. UrO RAN, 7:1 (2001), 144–159 ; Proc. Steklov Inst. Math. (Suppl.), 2001no. , suppl. 1, S150–S166 |
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1999 |
31. |
A. G. Babenko, N. I. Chernykh, V. T. Shevaldin, “The Jackson–Stechkin inequality in $L^2$ with a trigonometric modulus of continuity”, Mat. Zametki, 65:6 (1999), 928–932 ; Math. Notes, 65:6 (1999), 777–781 |
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1998 |
32. |
V. T. Shevaldin, “Extremal interpolation in the mean with overlapping averaging intervals and $L$-splines”, Izv. RAN. Ser. Mat., 62:4 (1998), 201–224 ; Izv. Math., 62:4 (1998), 833–856 |
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1994 |
33. |
V. T. Shevaldin, “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 ; Russian Acad. Sci. Izv. Math., 45:2 (1995), 399–415 |
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1993 |
34. |
V. T. Shevaldin, “Interpolating periodic splines and widths of classes of functions
with a bounded noninteger derivative”, Dokl. Akad. Nauk, 328:3 (1993), 296–298 ; Dokl. Math., 47:1 (1993), 79–82 |
35. |
V. T. Shevaldin, “Lower bounds for the widths of classes of periodic functions with a bounded fractional derivative”, Mat. Zametki, 53:2 (1993), 145–151 ; Math. Notes, 53:2 (1993), 218–222 |
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1992 |
36. |
V. T. Shevaldin, “Widths of classes of convolutions with Poisson kernel”, Mat. Zametki, 51:6 (1992), 126–136 ; Math. Notes, 51:6 (1992), 611–617 |
37. |
V. T. Shevaldin, “Lower estimations of widths some classes of periodic functions”, Trudy Mat. Inst. Steklov., 198 (1992), 242–267 ; Proc. Steklov Inst. Math., 198 (1994), 233–255 |
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1989 |
38. |
V. T. Shevaldin, “Lower bounds on widths of classes of sourcewise representable functions”, Trudy Mat. Inst. Steklov., 189 (1989), 185–200 ; Proc. Steklov Inst. Math., 189 (1990), 217–234 |
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1983 |
39. |
V. T. Shevaldin, “$\mathscr L$-Splines and widths”, Mat. Zametki, 33:5 (1983), 735–744 ; Math. Notes, 33:5 (1983), 378–383 |
40. |
V. T. Shevaldin, “Some problems of extremal interpolation in the mean for linear differential operators”, Trudy Mat. Inst. Steklov., 164 (1983), 203–240 ; Proc. Steklov Inst. Math., 164 (1985), 233–273 |
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1982 |
41. |
V. T. Shevaldin, “Some problems of extremal interpolation in the mean”, Dokl. Akad. Nauk SSSR, 267:4 (1982), 803–805 |
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1981 |
42. |
V. T. Shevaldin, “A problem of extremal interpolation”, Mat. Zametki, 29:4 (1981), 603–622 ; Math. Notes, 29:4 (1981), 310–320 |
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1980 |
43. |
V. T. Shevaldin, “Extremal interpolation with least norm of linear differential operator”, Mat. Zametki, 27:5 (1980), 721–740 ; Math. Notes, 27:5 (1980), 344–354 |
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2007 |
44. |
V. V. Arestov, V. I. Berdyshev, O. V. Besov, N. N. Krasovskii, S. M. Nikol'skii, S. I. Novikov, Yu. S. Osipov, S. A. Telyakovskii, N. I. Chernykh, V. T. Shevaldin, “Yurii Nikolaevich Subbotin (on his 70th birthday)”, Uspekhi Mat. Nauk, 62:2(374) (2007), 187–190 ; Russian Math. Surveys, 62:2 (2007), 403–406 |
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