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Akopyan, Roman Razmikovich

Total publications: 30 (29)
in MathSciNet: 24 (22)
in zbMATH: 20 (20)
in Web of Science: 23 (23)
in Scopus: 21 (21)
Cited articles: 17
Citations: 69
Presentations: 6

Number of views:
This page:3188
Abstract pages:6275
Full texts:1760
References:875
Associate professor
Doctor of physico-mathematical sciences
Speciality: 01.01.01 (Real analysis, complex analysis, and functional analysis)
E-mail:

https://www.mathnet.ru/eng/person18000
List of publications on Google Scholar
https://zbmath.org/authors/ai:akopyan.roman-razmikovich
https://mathscinet.ams.org/mathscinet/MRAuthorID/635368
https://elibrary.ru/author_items.asp?authorid=14349
https://orcid.org/0000-0002-8168-6467
https://www.webofscience.com/wos/author/record/U-9179-2018
https://www.scopus.com/authid/detail.url?authorId=23488097500
https://www.researchgate.net/profile/Roman_Akopyan

Full list of publications:
| scientific publications | by years | by types | by times cited | common list |


Citations (Crossref Cited-By Service + Math-Net.Ru)

   2024
1. R. R. Akopyan, V. V. Arestov, V. G. Timofeev, “Stechkin's Problem of Approximating the Differentiation Operator in the Uniform Norm on the Half-Line”, Mathematical Notes, 115:6 (2024), 853–867  mathnet  crossref  crossref  mathscinet  zmath  zmath  isi  elib  scopus
2. R. R. Akopyan, P. Kumar, G. V. Milovanović, “On the inequalities of Zygmund and de Bruijn”, Anal. Math., 2024, 1–20 (Published online) https://doi.org/10.1007/s10476-024-00048-3  crossref  isi  scopus

   2023
3. O. V. Akopyan, R. R. Akopyan, “Optimal recovery on classes of functions analytic in a annulus”, Proc. Steklov Inst. Math. (Suppl.), 321, suppl. 1 (2023), S4–S19  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  scopus  scopus
4. R. R. Akopyan, “Optimal Recovery of a Function Holomorphic in a Polydisc from Its Approximate Values on a Part of the Skeleton”, Siberian Advances in Mathematics, 33:4 (2023), 261–277  mathnet  crossref  crossref  mathscinet  elib  scopus

   2022
5. R. R. Akopyan, N. Yu. Antonov, V. V. Arestov, A. G. Babenko, N. V. Baidakova, V. I. Berdyshev, V. V. Vasin, S. I. Novikov, N. L. Patsko, A. G. Chentsov, N. I. Chernykh, V. T. Shevaldin, “Yurii Nikolaevich Subbotin”, Proc. Steklov Inst. Math. (Suppl.), 319, suppl. 1 (2022), S1–S6  mathnet  crossref  crossref  isi  elib

   2021
6. R. R. Akopyan, “Best approximation of differentiation operators on the Sobolev class of functions analytic in a strip”, Sib. Èlektron. Mat. Izv., 18:2 (2021), 1286–1298  mathnet  crossref  zmath  isi  scopus

   2020
7. R. R. Akopyan, “Optimal Recovery of a Derivative of an Analytic Function from Values of the Function Given with an Error on a Part of the Boundary. II”, Analysis Math., 46:3 (2020), 409–424  crossref  mathscinet  zmath  isi  scopus 1

   2021
8. R. R. Akopyan, “Analog of the Hadamard Theorem and Related Extremal Problems on the Class of Analytic Functions”, Proceedings of the Steklov Institute of Mathematics, 351:1 (2021), 13–26  mathnet  crossref  crossref  mathscinet  zmath  isi  isi  elib  scopus  scopus

   2020
9. V. V. Arestov, R. R. Akopyan, “Stechkin's problem on the best approximation of an unbounded operator by bounded ones and related problems”, Trudy Inst. Mat. i Mekh. UrO RAN, 26, no. 4, 2020, 7–31  mathnet  crossref  isi  elib  scopus

   2019
10. R. R. Akopyan, “An analogue of the two-constants theorem and optimal recovery of analytic functions”, Sb. Math., 210:10 (2019), 1348–1360  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib  scopus

   2020
11. R. R. Akopyan, “Approximation of Derivatives of Analytic Functions from One Hardy Class by Another Hardy Class”, Proceedings of the Steklov Institute of Mathematics, 308:Suppl. 1 (2020), 1–8  mathnet  crossref  crossref  mathscinet  zmath  isi  isi  elib  scopus  scopus

   2018
12. R. R. Akopyan, “Optimal Recovery of a Derivative of an Analytic Function from Values of the Function Given with an Error on a Part of the Boundary”, Analysis Mathematica, 44:1 (2018), 3–19  crossref  mathscinet  zmath  isi  scopus 3
13. R. R. Akopyan, “Optimal recovery of a function analytic in a half-plane from approximately given values on a part of the straight-line boundary”, Trudy Inst. Mat. i Mekh. UrO RAN, 24, no. 4, 2018, 19–33  mathnet  crossref  mathscinet  isi  elib
14. V. I. Berdyshev, N. I. Chernykh, A. G. Babenko, R. R. Akopyan, “On the 75th birthday of professor Vitalii Vladimirovich Arestov”, Ural Math. J., 4:2 (2018), 3–5  mathnet  crossref  mathscinet  mathscinet  elib  elib
15. R. R. Akopyan, M. S. Saidusainov, “Three Extremal Problems in the Hardy and Bergman Spaces of Functions Analytic in a Disk”, Proceedings of the Steklov Institute of Mathematics, 303:Suppl. 1 (2018), S25–-S35  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  scopus

   2017
16. R. Akopyan, A. Efimov, “Boas–Kac roots of positive definite functions of several variables”, Analysis Mathematica, 43:3 (2017), 359–369  crossref  mathscinet  zmath  isi  elib  scopus 4
17. R. R. Akopyan, “Approximation of the differentiation operator on the class of functions analytic in an annulus”, Ural Math. J., 3:2 (2017), 6–13  mathnet  crossref  mathscinet  elib 4

   2016
18. R. R. Akopyan, “Optimal recovery of analytic functions from boundary values specified with error”, Math. Notes, 99:1-2 (2016), 177–182  mathnet  crossref  crossref  mathscinet  zmath  isi  isi  elib  scopus

   2018
19. R. R. Akopyan, “Optimal Recovery of a Function Analytic in a Disk from Its Approximately Given Values on a Part of the Boundary”, Proceedings of the Steklov Institute of Mathematics, 300:Suppl. 1 (2018), 25–37  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  scopus

   2017
20. R. R. Akopyan, “Optimal recovery of an analytic function in a doubly connected domain from its approximately given boundary values”, Proceedings of the Steklov Institute of Mathematics, 296:1 (2017), 13–18  mathnet  crossref  mathscinet  zmath  isi  isi  elib  scopus

   2015
21. R. R. Akopyan, “Best approximation of the differentiation operator on the class of functions analytic in a strip”, Proc. Steklov Inst. Math. (Suppl.), 288, suppl. 1 (2015), 5–12  mathnet  crossref  mathscinet  isi  elib  scopus

   2012
22. R. R. Akopyan, “Best approximation for the analytic continuation operator on the class of analytic functions in a ring”, Trudy Inst. Mat. i Mekh. UrO RAN, 18:4 (2012), 3–13  mathnet  isi  elib

   2011
23. R. R. Akopyan, “Best approximation of the operator of analytic continuation on the class of functions analytic in a strip”, Trudy Inst. Mat. i Mekh. UrO RAN, 17, no. 3, 2011, 46–54  mathnet  elib

   2010
24. R. R. Akopyan, “Approximation of the Hardy–Sobolev class of functions analytic in a half-plane by entire functions of exponential type”, Trudy Inst. Mat. i Mekh. UrO RAN, 16, no. 4, 2010, 18–30  mathnet  elib

   2007
25. R. R. Akopyan, “Optimal recovery of functions analytical in a half-plane”, Proc. Steklov Inst. Math., 259:2 (2007), 1–11  mathnet  mathnet  crossref  mathscinet  zmath  elib  scopus

   2005
26. R. R. Akopian, “Kolmogorov's inequality for functions analytic in a half-plane”, Proc. Steklov Inst. Math. (Suppl.), 2005no. , suppl. 2, S1–S8  mathnet  mathscinet  zmath  elib

   2003
27. R. R. Akopyan, “Certain extremal problems for algebraic polynomials which do not vanish in the disk”, East J. Approx., 9:2 (2003), 139–150  mathscinet  zmath

   2001
28. Roman R. Akopyan, “Bernstein-Jackson inequality for algebraic polynomials with restrictions on their zeros”, East J. Approx., 7:3 (2001), 351–370  mathscinet  zmath

   2000
29. Roman R. Akopyan, “Turan’s inequality in $H_2$ for algebraic polynomials with restrictions to their zeros”, East J. Approx., 6:1 (2000), 103–124  mathscinet  zmath

   1997
30. R. R. Akopyan, “Bernstein inequality in $H_2$ for algebraic polynomials with restriction on the zeros”, East J. Approx., 3:3 (1997), 333–349  mathscinet  zmath

Presentations in Math-Net.Ru
1. Задача Стечкина о приближении оператора дифференцирования в равномерной норме на полупрямой
R. R. Akopyan
International Conference “Nonlinear Approximation and Discretization” dedicated to the 70-th anniversary of Professor V.N. Temlyakov
November 1, 2023 15:50   
2. Точные неравенства и оптимальные методы на классах аналитических функций
R. R. Akopyan

October 31, 2023 17:30
3. Аналог теоремы о двух константах и
R. R. Akopyan

November 7, 2022 17:50
4. Оптимальное восстановление аналитических функций по приближенно заданным граничным значениям.
R. R. Akopyan
Seminar on Theory of Functions of Real Variables
February 18, 2022 18:30   
5. Stechkin's problem on the classes of analytic functions
R. R. Akopyan
International Conference "Approximation Theory and Applications" Dedicated to the 100th Anniversary S. B. Stechkin
September 6, 2021 18:20   
6. Оптимальное восстановление аналитической функции по заданным с погрешностью граничным значениям
R. R. Akopian
International conference on Function Spaces and Approximation Theory dedicated to the 110th anniversary of S. M. Nikol'skii
May 27, 2015 15:45

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