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Rovba, Evgeny Alekseevich

Professor
Doctor of physico-mathematical sciences (1999)
Speciality: 01.01.01 (Real analysis, complex analysis, and functional analysis)
E-mail:
Keywords: Approximation.
UDC: , 517.5

Subject:

Approximation of Functions

   
Main publications:
  1. Rovba E.A., “Orthogonal Systems of Rational Functions and Quadratures of Gauss-Type”, Math. Balcanica, 13:3-4 (1999), 11-17

https://www.mathnet.ru/eng/person19228
List of publications on Google Scholar
https://mathscinet.ams.org/mathscinet/MRAuthorID/264796
https://elibrary.ru/author_items.asp?spin=3925-0232
https://orcid.org/0000-0002-1265-1965

Publications in Math-Net.Ru Citations
2024
1. P. G. Potseiko, E. A. Rovba, K. A. Smotritskii, “On the approximation of conjugate functions and their derivatives on the segment by partial sums of Fourier - Chebyshev series”, Journal of the Belarusian State University. Mathematics and Informatics, 2 (2024),  6–18  mathnet
2. P. G. Potseiko, E. A. Rovba, “On rational approximations of the conjugate function on a segment by Abel–Poisson sums of Fourier–Chebyshev integral operators”, Izv. Vyssh. Uchebn. Zaved. Mat., 2024, no. 9,  56–73  mathnet
3. P. G. Potseiko, Y. A. Rovba, “Approximation of Riemann–Liouville type integrals on an interval by methods based on Fourier–Chebyshev sums”, Mat. Zametki, 116:1 (2024),  122–138  mathnet; Math. Notes, 116:1 (2024), 104–118  scopus
4. P. G. Potseiko, E. A. Rovba, “Approximations of one singular integral on an interval by Fourier–Chebyshev rational integral operators”, Mat. Sb., 215:7 (2024),  96–137  mathnet  mathscinet  zmath; Sb. Math., 215:7 (2024), 953–992  isi  scopus
5. P. G. Potseiko, E. A. Rovba, “The Riesz–Zygmund sums of Fourier–Chebyshev rational integral operators and their approximation properties”, Sibirsk. Mat. Zh., 65:1 (2024),  140–163  mathnet
6. P. G. Patseika, E. A. Rovba, “On approximations of Riemann–Liouville integral on a segement by rational Fourier–Chebyshev integral operators”, Proceedings of the Institute of Mathematics of the NAS of Belarus, 32:1 (2024),  38–56  mathnet
7. P. G. Potseiko, Y. A. Rovba, “A Fejér rational integral operator on a closed interval and approximation of functions with a power-law singularity”, Trudy Inst. Mat. i Mekh. UrO RAN, 30:1 (2024),  170–189  mathnet  elib
2023
8. P. G. Potseiko, Y. A. Rovba, “Vallee Poussin sums of rational Fourier–Chebyshev integral operators and approximations of the Markov function”, Algebra i Analiz, 35:5 (2023),  183–208  mathnet; St. Petersburg Math. J., 35:5 (2024), 879–896 1
9. V. Yu. Medvedeva, Y. A. Rovba, “Rational interpolation of a function $|x|^{\alpha}$ with Chebyshev – Markov nodes of the first kind”, Journal of the Belarusian State University. Mathematics and Informatics, 1 (2023),  6–19  mathnet 1
10. P. G. Potseiko, Y. A. Rovba, “On Estimates of Uniform Approximations by Rational Fourier–Chebyshev Integral Operators for a Certain Choice of Poles”, Mat. Zametki, 113:6 (2023),  876–894  mathnet  mathscinet; Math. Notes, 113:6 (2023), 815–830  scopus 2
11. P. G. Potseiko, Y. A. Rovba, “The de la Vallée Poussin sums of Fourier–Chebyshev rational integral operators and approximations to Poisson integrals on the segment”, Sibirsk. Mat. Zh., 64:1 (2023),  162–183  mathnet  mathscinet; Siberian Math. J., 64:1 (2023), 137–156 1
12. N. Ju. Kazlouskaya, Y. A. Rovba, “On conjugate rational trigonometric Fourier series and their approximation properties”, Tr. Inst. Mat., 31:1 (2023),  58–69  mathnet
2022
13. P. G. Potseiko, Ye. A. Rovba, “Conjugate rational Foutier–Chebyshev operator and its approximation properties”, Izv. Vyssh. Uchebn. Zaved. Mat., 2022, no. 3,  44–60  mathnet; Russian Math. (Iz. VUZ), 66:3 (2022), 35–49 9
14. P. G. Patseika, Y. A. Rovba, “On rational approximations of the Markov function on the segment by the Fejer sums with a fixed number of poles”, Tr. Inst. Mat., 30:1-2 (2022),  63–83  mathnet  mathscinet
15. V. J. Medvedeva, Y. A. Rovba, “Rational interpolation of the function ${\left| x \right|}^{\alpha}$by the system of Chebyshev–Markov of the second kind”, Tr. Inst. Mat., 30:1-2 (2022),  50–62  mathnet
2021
16. P. G. Potseiko, Y. A. Rovba, “On rational Abel – Poisson means on a segment and approximations of Markov functions”, Journal of the Belarusian State University. Mathematics and Informatics, 3 (2021),  6–24  mathnet 3
17. P. G. Potseiko, Y. A. Rovba, “Approximations on classes of Poisson integrals by Fourier–Chebyshev rational integral operators”, Sibirsk. Mat. Zh., 62:2 (2021),  362–386  mathnet  elib; Siberian Math. J., 62:2 (2021), 292–312  isi  scopus 12
2020
18. P. G. Potseiko, Y. A. Rovba, K. A. Smotritskii, “On one rational integral operator of Fourier – Chebyshev type and approximation of Markov functions”, Journal of the Belarusian State University. Mathematics and Informatics, 2 (2020),  6–27  mathnet 12
19. Y. A. Rovba, P. G. Patseika, “Approximations of conjugate functions by partial sums of conjugate Fourier series with respect to a certain system of Chebyshev – Markov algebraic fractions”, Izv. Vyssh. Uchebn. Zaved. Mat., 2020, no. 9,  68–84  mathnet; Russian Math. (Iz. VUZ), 64:9 (2020), 61–75  isi  scopus 7
20. Y. A. Rovba, P. G. Potseiko, “On Rational Approximation of Markov Functions by Partial Sums of Fourier Series on a Chebyshev–Markov System”, Mat. Zametki, 108:4 (2020),  572–587  mathnet  mathscinet  elib; Math. Notes, 108:4 (2020), 566–578  isi  scopus 2
21. Y. A. Rouba, P. G. Patseika, “Riesz – Zigmund means of rational Fourier – Chebyshev seriesand approximations of the function $|x|^s$”, Tr. Inst. Mat., 28:1-2 (2020),  74–90  mathnet
2019
22. P. G. Potseiko, Y. A. Rovba, “Fejer means of rational Fourier – Chebyshev series and approximation of function $|x|^{s}$”, Journal of the Belarusian State University. Mathematics and Informatics, 3 (2019),  18–34  mathnet 5
2018
23. Y. A. Rovba, K. A. Smotritskii, E. V. Dirvuk, “On a Lebesgue constant of interpolation rational process at the Chebyshev – Markov nodes”, Journal of the Belarusian State University. Mathematics and Informatics, 3 (2018),  12–20  mathnet
1999
24. A. A. Pekarskii, E. A. Rovba, “Uniform approximations of Stieltjes functions by means of an orthoprojection onto the set of rational functions”, Mat. Zametki, 65:3 (1999),  362–368  mathnet  mathscinet  zmath; Math. Notes, 65:3 (1999), 302–307  isi 8
1997
25. E. A. Rovba, “Summation rational operators of the Jackson type”, Mat. Zametki, 61:2 (1997),  270–277  mathnet  mathscinet  zmath; Math. Notes, 61:2 (1997), 221–226  isi 2
1993
26. E. A. Rovba, “Interpolation rational operators of Fejér and de la Vallée-Poussin type”, Mat. Zametki, 53:2 (1993),  114–121  mathnet  mathscinet  zmath; Math. Notes, 53:2 (1993), 195–200  isi 4
1989
27. E. A. Rovba, “An approximation of $|\sin x|$ by rational Fourier series”, Mat. Zametki, 46:4 (1989),  52–59  mathnet  mathscinet  zmath; Math. Notes, 46:4 (1989), 788–794  isi 2

2021
28. Y. A. Rovba, P. G. Patseika, “Letter to the editors”, Izv. Vyssh. Uchebn. Zaved. Mat., 2021, no. 1,  97–99  mathnet

Presentations in Math-Net.Ru
1. Îá îäíîì ìåòîäå ðàöèîíàëüíûõ àïïðîêñèìàöèé èíòåãðàëîâ òèïà Ðèìàíà–Ëèóâèëëÿ íà îòðåçêå
P. G. Potseiko, E. A. Rovba
International conference “Theory of Functions, Operator Theory and Quantum Information Theory”
June 8, 2024 16:45   

Organisations
 
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