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Ivanov, Valerii Ivanovich
Statistics Math-Net.Ru
Total publications: 81
Scientific articles: 80
Presentations: 8

Number of views:
This page:12658
Abstract pages:28090
Full texts:9067
References:2604
Professor
Doctor of physico-mathematical sciences (1994)
E-mail:

https://www.mathnet.ru/eng/person18032
List of publications on Google Scholar
List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/197620
https://elibrary.ru/author_items.asp?authorid=3789

Publications in Math-Net.Ru Citations
2024
1. V. I. Ivanov, “Generalized Dunkl transform on the line in inverse problems of approximation theory”, Chebyshevskii Sb., 25:2 (2024),  67–81  mathnet
2. V. I. Ivanov, “Generalized one-dimensional Dunkl transform in direct problems of approximation theory”, Mat. Zametki, 116:2 (2024),  245–260  mathnet; Math. Notes, 116:2 (2024), 265–278
2023
3. V. I. Ivanov, “The intertwining operator for the generalized Dunkl transform on the line”, Chebyshevskii Sb., 24:4 (2023),  48–62  mathnet 2
4. V. I. Ivanov, “Generalized Hankel transform on the line”, Chebyshevskii Sb., 24:3 (2023),  5–25  mathnet
5. V. I. Ivanov, “Nondeformed Generalized Dunkl transform on the Line”, Mat. Zametki, 114:4 (2023),  509–524  mathnet; Math. Notes, 114:4 (2023), 443–456  scopus 4
6. V. I. Ivanov, “Riesz Transform for the One-Dimensional $(k,1)$-Generalized Fourier Transform”, Mat. Zametki, 113:3 (2023),  360–373  mathnet  mathscinet; Math. Notes, 113:3 (2023), 356–367  scopus 1
7. D. V. Gorbachev, V. I. Ivanov, “Logan–Hermite Extremal Problems for Entire Functions of Exponential Type”, Mat. Zametki, 113:1 (2023),  138–143  mathnet  mathscinet; Math. Notes, 113:1 (2023), 143–148  scopus
8. V. I. Ivanov, “One-dimensional $(k,a)$-generalized Fourier transform”, Trudy Inst. Mat. i Mekh. UrO RAN, 29:4 (2023),  92–108  mathnet  elib 1
2022
9. V. I. Ivanov, “Generalized extremal Yudin problems for polynomials”, Chebyshevskii Sb., 23:4 (2022),  105–114  mathnet
10. V. I. Ivanov, “Lebesgue boundedness of Riesz potential for $(k,1)$-generalized Fourier transform with radial piecewise power weights”, Chebyshevskii Sb., 23:4 (2022),  92–104  mathnet
11. N. N. Dobrovol'skii, D. V. Gorbachev, V. I. Ivanov, “About three-dimensional nets of Smolyak III”, Chebyshevskii Sb., 23:3 (2022),  249–254  mathnet
2021
12. V. I. Ivanov, “Properties and application of a positive translation operator for $(k,1)$-Generalized Fourier transform”, Chebyshevskii Sb., 22:4 (2021),  136–152  mathnet 1
13. V. I. Ivanov, “Riesz potential for $(k,1)$-generalized Fourier transform”, Chebyshevskii Sb., 22:4 (2021),  114–135  mathnet 1
14. V. I. Ivanov, “Inequalities for Dunkl–Riesz transforms and Dunkl gradient with radial piecewise power weights”, Chebyshevskii Sb., 22:3 (2021),  122–132  mathnet 1
15. N. N. Dobrovol'skii, D. V. Gorbachev, V. I. Ivanov, “About three-dimensional nets of Smolyak II”, Chebyshevskii Sb., 22:3 (2021),  100–121  mathnet 1
16. V. I. Ivanov, “Chebyshev's Problem of the Moments of Nonnegative Polynomials”, Mat. Zametki, 110:6 (2021),  875–890  mathnet  elib; Math. Notes, 110:6 (2021), 903–915  isi  scopus
17. V. I. Ivanov, “Yudin–Hermite Extremal Problems for Polynomials”, Mat. Zametki, 110:5 (2021),  789–795  mathnet  elib; Math. Notes, 110:5 (2021), 799–805  isi  scopus 2
2020
18. V. I. Ivanov, “Weighted inequalities for Dunkl–Riesz transforms and Dunkl gradient”, Chebyshevskii Sb., 21:4 (2020),  97–106  mathnet 3
19. V. I. Ivanov, “Bounded translation operator for the $(k,1)$-generalized Fourier transform”, Chebyshevskii Sb., 21:4 (2020),  85–96  mathnet 3
20. V. I. Ivanov, “Extremal Values of Moments of Nonnegative Polynomials”, Mat. Zametki, 108:4 (2020),  625–628  mathnet  elib; Math. Notes, 108:4 (2020), 611–614  isi  scopus 2
21. V. I. Ivanov, “Chebyshev's problem on extremal values of moments of nonnegative algebraic polynomials”, Trudy Inst. Mat. i Mekh. UrO RAN, 26:4 (2020),  138–154  mathnet  elib 1
2019
22. N. N. Dobrovol'skii, D. V. Gorbachev, V. I. Ivanov, “About three-dimensional nets of Smolyak I”, Chebyshevskii Sb., 20:3 (2019),  193–219  mathnet 3
23. D. V. Gorbachev, V. I. Ivanov, “Muckenhoupt conditions for piecewise-power weights in Euclidean space with Dunkl measure”, Chebyshevskii Sb., 20:2 (2019),  82–92  mathnet
24. D. V. Gorbachev, V. I. Ivanov, “Weighted inequalities for Dunkl–Riesz potential”, Chebyshevskii Sb., 20:1 (2019),  131–147  mathnet 6
25. D. V. Gorbachev, V. I. Ivanov, “Fractional Smoothness in $L^p$ with Dunkl Weight and Its Applications”, Math. Notes, 106:4 (2019), 537–561  mathnet  mathscinet  isi  elib  scopus 9
26. D. V. Gorbachev, V. I. Ivanov, “A Sharp Jackson Inequality in $L_p(\mathbb R^d)$ with Dunkl Weight”, Mat. Zametki, 105:5 (2019),  666–684  mathnet  mathscinet  elib; Math. Notes, 105:5 (2019), 657–673  isi  scopus 3
27. D. V. Gorbachev, V. I. Ivanov, “Turán, Fejér and Bohman extremal problems for the multivariate Fourier transform in terms of the eigenfunctions of a Sturm-Liouville problem”, Mat. Sb., 210:6 (2019),  56–81  mathnet  mathscinet  elib; Sb. Math., 210:6 (2019), 809–835  isi  scopus 7
28. D. V. Gorbachev, V. I. Ivanov, “Nikol'skii–Bernstein Constants for Entire Functions of Exponential Spherical Type in Weighted Spaces”, Trudy Inst. Mat. i Mekh. UrO RAN, 25:2 (2019),  75–87  mathnet  elib; Proc. Steklov Inst. Math. (Suppl.), 309, suppl. 1 (2020), S24–S35  isi  scopus 7
2018
29. D. V. Gorbachev, V. I. Ivanov, “On the doubling condition for non-negative positive definite functions on on the half-line with power weight”, Chebyshevskii Sb., 19:2 (2018),  90–100  mathnet  elib
30. D. V. Gorbachev, V. I. Ivanov, E. P. Ofitserov, O. I. Smirnov, “The second Logan extremal problem for the fourier transform over the eigenfunctions of the Sturm–Liouville operator”, Chebyshevskii Sb., 19:1 (2018),  57–78  mathnet  elib
31. V. I. Ivanov, “Pointwise Turán problem for periodic positive definite functions”, Trudy Inst. Mat. i Mekh. UrO RAN, 24:4 (2018),  156–175  mathnet  elib
2017
32. D. V. Gorbachev, V. I. Ivanov, E. P. Ofitserov, O. I. Smirnov, “Some extremal problems of harmonic analysis and approximation theory”, Chebyshevskii Sb., 18:4 (2017),  140–167  mathnet 2
33. D. V. Gorbachev, V. I. Ivanov, “Some extremal problems for the Fourier transform over the eigenfunctions of the Sturm–Liouville operator”, Chebyshevskii Sb., 18:2 (2017),  34–53  mathnet  elib 5
34. D. V. Gorbachev, V. I. Ivanov, O. I. Smirnov, “Some Extremal Problems for the Fourier Transform on the Hyperboloid”, Math. Notes, 102:4 (2017), 480–491  mathnet  isi  elib  scopus 4
2016
35. D. V. Gorbachev, V. I. Ivanov, O. I. Smirnov, “The Delsarte Extremal Problem for the Jacobi Transform”, Math. Notes, 100:5 (2016), 677–686  mathnet  isi  elib  scopus 5
36. D. V. Gorbachev, V. I. Ivanov, “Approximation in $L_2$ by Partial Integrals of the Fourier Transform over the Eigenfunctions of the Sturm–Liouville Operator”, Mat. Zametki, 100:4 (2016),  519–530  mathnet  mathscinet  elib; Math. Notes, 100:4 (2016), 540–549  isi  scopus 5
37. D. V. Gorbachev, V. I. Ivanov, R. A. Veprintsev, “Approximation in $L_2$ by partial integrals of the multidimensional Fourier transform in the eigenfunctions of the Sturm–Liouville operator”, Trudy Inst. Mat. i Mekh. UrO RAN, 22:4 (2016),  136–152  mathnet  mathscinet  elib; Proc. Steklov Inst. Math. (Suppl.), 300, suppl. 1 (2018), 97–113  isi  scopus 4
38. D. V. Gorbachev, V. I. Ivanov, “Bohman extremal problem for the Jacobi transform”, Trudy Inst. Mat. i Mekh. UrO RAN, 22:4 (2016),  126–135  mathnet  mathscinet  elib; Proc. Steklov Inst. Math. (Suppl.), 300, suppl. 1 (2018), 88–96  isi  scopus 3
2015
39. V. I. Ivanov, “On the Sharpness of Jackson's Inequality in the Spaces $L_p$ on the Half-Line with Power Weight”, Mat. Zametki, 98:5 (2015),  684–694  mathnet  mathscinet  elib; Math. Notes, 98:5 (2015), 742–751  isi  scopus 3
40. D. V. Gorbachev, V. I. Ivanov, “Gauss and Markov quadrature formulae with nodes at zeros of eigenfunctions of a Sturm-Liouville problem, which are exact for entire functions of exponential type”, Mat. Sb., 206:8 (2015),  63–98  mathnet  mathscinet  zmath  elib; Sb. Math., 206:8 (2015), 1087–1122  isi  scopus 17
41. D. V. Gorbachev, V. I. Ivanov, “Bohman extremal problem for the Dunkl transform”, Trudy Inst. Mat. i Mekh. UrO RAN, 21:4 (2015),  115–123  mathnet  mathscinet  elib; Proc. Steklov Inst. Math. (Suppl.), 297, suppl. 1 (2017), 88–96  isi 4
2014
42. D. V. Gorbachev, V. I. Ivanov, R. A. Veprintsev, “Optimal argument in the sharp Jackson inequality in the space $L_2$ with hyperbolic weight”, Math. Notes, 96:5 (2014), 904–913  mathnet 9
43. V. I. Ivanov, A. V. Ivanov, “Optimal Arguments in the Jackson–Stechkin Inequality in $L_2(\mathbb{R}^d)$ with Dunkl Weight”, Mat. Zametki, 96:5 (2014),  674–686  mathnet  mathscinet  zmath  elib; Math. Notes, 96:5 (2014), 666–677  isi  elib  scopus 3
44. V. I. Ivanov, Ha Thi Min Hue, “Generalized Jackson inequality in the space $L_2(\mathbb R^d)$ with Dunkl weight”, Trudy Inst. Mat. i Mekh. UrO RAN, 20:1 (2014),  109–118  mathnet  mathscinet  elib; Proc. Steklov Inst. Math. (Suppl.), 288, suppl. 1 (2015), 88–98  isi  scopus 4
2013
45. A. V. Ivanov, V. I. Ivanov, “Optimal Arguments in Jackson's Inequality in the Power-Weighted Space $L_2(\mathbb{R}^d)$”, Mat. Zametki, 94:3 (2013),  338–348  mathnet  mathscinet  zmath  elib; Math. Notes, 94:3 (2013), 320–329  isi  elib  scopus 19
2011
46. Iong Ping Li, Chun Mei Su, V. I. Ivanov, “Some Problems of Approximation Theory in the Spaces $L_p$ on the Line with Power Weight”, Mat. Zametki, 90:3 (2011),  362–383  mathnet  mathscinet; Math. Notes, 90:3 (2011), 344–364  isi  scopus 11
2010
47. A. V. Ivanov, V. I. Ivanov, “Jackson's Theorem in the Space $L_2(\mathbb{R}^d)$ with Power Weight”, Mat. Zametki, 88:1 (2010),  148–151  mathnet  mathscinet; Math. Notes, 88:1 (2010), 140–143  isi  scopus 8
48. A. V. Ivanov, V. I. Ivanov, “Dunkl theory and Jackson inequality in $L_2(\mathbb R^d)$ with power weight”, Trudy Inst. Mat. i Mekh. UrO RAN, 16:4 (2010),  180–192  mathnet  elib; Proc. Steklov Inst. Math. (Suppl.), 273, suppl. 1 (2011), S86–S98  isi  scopus 13
49. V. I. Ivanov, “Direct and inverse theorems in approximation theory for periodic functions in S. B. Stechkins papers and the development of these theorems”, Trudy Inst. Mat. i Mekh. UrO RAN, 16:4 (2010),  5–17  mathnet  elib; Proc. Steklov Inst. Math. (Suppl.), 273, suppl. 1 (2011), S1–S13  scopus 8
2008
50. V. I. Ivanov, D. V. Chertova, Liu Yongping, “Jackson Theorem in the Space $L_2$ on the Interval $[-1,1]$ with Power-Law Weight”, Mat. Zametki, 84:1 (2008),  136–138  mathnet  mathscinet; Math. Notes, 84:1 (2008), 134–136  isi  scopus
51. V. I. Ivanov, D. V. Chertova, Liu Yongping, “The sharp Jackson inequality in the space $L_2$ on the segment $[-1,1]$ with the power weight”, Trudy Inst. Mat. i Mekh. UrO RAN, 14:3 (2008),  112–126  mathnet  elib; Proc. Steklov Inst. Math. (Suppl.), 264, suppl. 1 (2009), S133–S149  isi  scopus 3
2006
52. V. I. Ivanov, “On the Turán and Delsarte problems for periodic positive definite functions”, Mat. Zametki, 80:6 (2006),  934–939  mathnet  mathscinet  zmath  elib; Math. Notes, 80:6 (2006), 875–880  isi  scopus 14
2005
53. V. I. Ivanov, Yu. D. Rudomazina, “On the Turan Problem for Periodic Functions with Nonnegative Fourier Coefficients and Small Support”, Mat. Zametki, 77:6 (2005),  941–945  mathnet  mathscinet  zmath  elib; Math. Notes, 77:6 (2005), 870–875  isi  scopus 10
54. V. I. Ivanov, D. V. Gorbachev, Yu. D. Rudomazina, “Some extremal problems for periodic functions with conditions on their values and Fourier coefficients”, Trudy Inst. Mat. i Mekh. UrO RAN, 11:2 (2005),  92–111  mathnet  mathscinet  zmath  elib; Proc. Steklov Inst. Math. (Suppl.), 2005no. , suppl. 2, S139–S159 6
2000
55. D. V. Gorbachev, V. I. Ivanov, “An extremum problem for polynomials related to codes and designs”, Mat. Zametki, 67:4 (2000),  508–513  mathnet  mathscinet  zmath; Math. Notes, 67:4 (2000), 433–438  isi 4
1997
56. V. I. Ivanov, O. I. Smirnov, “Jackson Constants in the Space $l_2(\mathbb Z_2^n)$”, Trudy Mat. Inst. Steklova, 219 (1997),  183–210  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 219 (1997), 176–204 2
1996
57. V. I. Ivanov, O. I. Smirnov, “On Jackson's theorem in the space $\ell_2(\mathbb Z_2^n)$”, Mat. Zametki, 60:3 (1996),  390–405  mathnet  mathscinet  zmath; Math. Notes, 60:3 (1996), 288–299  isi 2
1995
58. V. I. Ivanov, “On the relation between the Jackson and Jung constants of the spaces $L_ p$”, Mat. Zametki, 58:6 (1995),  828–836  mathnet  mathscinet  zmath; Math. Notes, 58:6 (1995), 1269–1275  isi 4
1994
59. V. I. Ivanov, “Approximation of functions in spaces $L_p$”, Mat. Zametki, 56:2 (1994),  15–40  mathnet  mathscinet  zmath; Math. Notes, 56:2 (1994), 770–789  isi 13
1993
60. V. I. Ivanov, “On the approximation of functions in spaces $L_p$”, Mat. Zametki, 54:2 (1993),  151–154  mathnet  mathscinet  zmath; Math. Notes, 54:2 (1993), 872–875  isi 1
61. V. I. Ivanov, “On the Jackson theorem in $L_2$ for Preiss systems”, Mat. Zametki, 53:3 (1993),  37–50  mathnet  mathscinet  zmath; Math. Notes, 53:3 (1993), 268–278  isi 1
1992
62. V. I. Ivanov, “Lower bound on constant in Jackson inequality in different $L_p$-norms”, Mat. Zametki, 52:3 (1992),  48–62  mathnet  mathscinet  zmath; Math. Notes, 52:3 (1992), 906–918  isi 4
1990
63. V. I. Ivanov, S. A. Pichugov, “Jung constants of the $l_p^n$-spaces”, Mat. Zametki, 48:4 (1990),  37–47  mathnet  mathscinet  zmath; Math. Notes, 48:4 (1990), 997–1004  isi 10
1989
64. V. I. Ivanov, “Representation of functions by series in metric symmetric spaces without linear functionals”, Trudy Mat. Inst. Steklov., 189 (1989),  34–77  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 189 (1990), 37–85 9
1988
65. V. I. Ivanov, “Approximation in $L_p$ by means of piecewise-constant functions”, Mat. Zametki, 44:1 (1988),  64–79  mathnet  mathscinet  zmath; Math. Notes, 44:1 (1988), 523–532  isi 6
66. V. I. Ivanov, “Approximation of functions from $C^r$ by splines of minimal defect”, Mat. Zametki, 43:6 (1988),  746–756  mathnet  mathscinet  zmath; Math. Notes, 43:6 (1988), 428–435  isi 2
1987
67. V. I. Ivanov, S. A. Pichugov, “Approximation of periodic functions in $L_p$ by linear positive methods and multiple moduli of continuity”, Mat. Zametki, 42:6 (1987),  776–785  mathnet  mathscinet  zmath; Math. Notes, 24:6 (1987), 925–930 3
68. V. I. Ivanov, “The modulus of continuity in $L_p$”, Mat. Zametki, 41:5 (1987),  682–686  mathnet  mathscinet  zmath; Math. Notes, 41:5 (1987), 382–385  isi 2
69. V. I. Ivanov, “Approximation in $L_p$ by polynomials in the Walsh system”, Mat. Sb. (N.S.), 134(176):3(11) (1987),  386–403  mathnet  mathscinet  zmath; Math. USSR-Sb., 62:2 (1989), 385–402 3
70. V. I. Ivanov, “Representation of functions by Bochner–Riesz spherical means in the spaces $\varphi(L)$”, Trudy Mat. Inst. Steklov., 180 (1987),  121–122  mathnet  zmath; Proc. Steklov Inst. Math., 180 (1989), 141–142
1986
71. V. I. Ivanov, “Representation of functions by series in metric symmetric spaces without linear functionals”, Dokl. Akad. Nauk SSSR, 289:3 (1986),  532–535  mathnet  mathscinet  zmath
1983
72. V. I. Ivanov, “Coefficients of universal and null orthogonal series”, Dokl. Akad. Nauk SSSR, 272:1 (1983),  19–23  mathnet  mathscinet  zmath
73. V. I. Ivanov, “Representation of measurable functions by multiple trigonometric series”, Trudy Mat. Inst. Steklov., 164 (1983),  100–123  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 164 (1985), 113–139 3
1981
74. V. I. Ivanov, “Representation of measurable functions by multiple trigonometric series”, Dokl. Akad. Nauk SSSR, 259:2 (1981),  279–282  mathnet  mathscinet  zmath 1
1980
75. V. I. Ivanov, V. A. Yudin, “Trigonometric system in $L_p$, $0<p<1$”, Mat. Zametki, 28:6 (1980),  859–868  mathnet  mathscinet  zmath; Math. Notes, 28:6 (1980), 884–889  isi 6
76. V. I. Ivanov, “Some extremal properties of polynomials and inverse inequalities of approximation theory”, Trudy Mat. Inst. Steklov., 145 (1980),  79–110  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 145 (1981), 85–120 7
1977
77. V. I. Ivanov, “On one-sided approximations of functions in the $L_p$-metrics”, Dokl. Akad. Nauk SSSR, 232:4 (1977),  760–762  mathnet  mathscinet  zmath
1975
78. V. I. Ivanov, “Local approximation of periodic functions by linear polynomial methods”, Dokl. Akad. Nauk SSSR, 224:3 (1975),  523–524  mathnet  mathscinet  zmath
79. V. I. Ivanov, “Direct and converse theorems of the theory of approximation in the metric of $L_p$ for $0<p<1$”, Mat. Zametki, 18:5 (1975),  641–658  mathnet  mathscinet  zmath; Math. Notes, 18:5 (1975), 972–982 17
80. V. I. Ivanov, “Certain inequalities in various metrics for trigonometric polynomials and their derivatives”, Mat. Zametki, 18:4 (1975),  489–498  mathnet  mathscinet  zmath; Math. Notes, 18:4 (1975), 880–885 19
1999
81. V. I. Ivanov, B. S. Kashin, S. A. Telyakovskii, “International Conference “Approximation Theory and Harmonic Analysis””, Uspekhi Mat. Nauk, 54:2(326) (1999),  205–207  mathnet

Presentations in Math-Net.Ru
1. The generalized Dunkl transform on the line
V. I. Ivanov
International Conference “Nonlinear Approximation and Discretization” dedicated to the 70-th anniversary of Professor V.N. Temlyakov
November 1, 2023 10:00   
2. Weighted inequalities in Dunkl harmonic analysis
V. I. Ivanov
International Conference "Approximation Theory and Applications" Dedicated to the 100th Anniversary S. B. Stechkin
September 10, 2021 11:00   
3. Ïðèíöèï íåîïðåäåëåííîñòè Áóðãåéíà–Êëîçåëÿ–Êàõàíà è ïðîáëåìû Ëîãàíà
D. V. Gorbachev, V. I. Ivanov, S. Yu. Tikhonov
Seminar on Theory of Functions of Real Variables
December 18, 2020 18:30   
4. Weight inequalities for the potential of Dunkl–Rissa
D. V. Gorbachev, V. I. Ivanov
XVI International Conference «Algebra, Number Theory and Discrete Geometry: modern problems, applications and problems of history» dedicated to the 80th anniversary of the birth of Professor Michel Desa
May 16, 2019 12:40
5. Integral and pointwise Turan problem for periodic functions
V. I. Ivanov
XV International Conference «Algebra, Number Theory and Discrete Geometry: modern problems and applications», dedicated to the centenary of the birth of the Doctor of Physical and Mathematical Sciences, Professor of the Moscow State University Korobov Nikolai Mikhailovich
May 31, 2018 12:50
6. Sharp Pitt inequality and logarithmic uncertainty principle for Dunkl transform in $L^{2}$
D. V. Gorbachev, V. I. Ivanov, S. Yu. Tikhonov
International conference on Function Spaces and Approximation Theory dedicated to the 110th anniversary of S. M. Nikol'skii
May 29, 2015 17:55
7. Dunkl harmonic analysis and sharp Jackson inequalities in $L_2$-space with power weight
V. I. Ivanov
International conference "Nonlinear Approximations and Applications" dedicated to the 60th birthday of Professor V. N. Temlyakov
October 30, 2013 16:40   
8. S. B. Stechkin's works on the theory of approximation of functions
V. I. Ivanov
International conference "Approximation Theory" dedicated to the 90-th anniversary of the birth of Sergey Borisovich Stechkin (1920–1995)
August 23, 2010 11:00   

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