Potseiko Pavel Gennadjevich

Publications in Math-Net.Ru

1. On one method of rational approximations of Riemann — Liouville type integral on segment
   
   Ufimsk. Mat. Zh., 17:2 (2025),  71–93
2. 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
3. On rational approximations of a singular integral on a segment by Abel — Poisson sums
   
   Chebyshevskii Sb., 25:5 (2024),  140–163
4. 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
5. Approximation of Riemann–Liouville type integrals on an interval by methods based on Fourier–Chebyshev sums
   
   Mat. Zametki, 116:1 (2024),  122–138
6. On rational approximations of conjugate function on an interval by conjugate Vallée Poussin sums
   
   PFMT, 2024, no. 3(60),  59–70
7. Approximations of one singular integral on an interval by Fourier–Chebyshev rational integral operators
   
   Mat. Sb., 215:7 (2024),  96–137
8. The Riesz–Zygmund sums of Fourier–Chebyshev rational integral operators and their approximation properties
   
   Sibirsk. Mat. Zh., 65:1 (2024),  140–163
9. 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
10. 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
11. Vallee Poussin sums of rational Fourier–Chebyshev integral operators and approximations of the Markov function
    
    Algebra i Analiz, 35:5 (2023),  183–208
12. On Estimates of Uniform Approximations by Rational Fourier–Chebyshev Integral Operators for a Certain Choice of Poles
    
    Mat. Zametki, 113:6 (2023),  876–894
13. On rational conjugate Fejér sums on an interval and approximations of the conjugate function
    
    PFMT, 2023, no. 2(55),  56–67
14. 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
15. Conjugate rational Foutier–Chebyshev operator and its approximation properties
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 2022, no. 3,  44–60
16. 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
17. 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
18. Approximations on classes of Poisson integrals by Fourier–Chebyshev rational integral operators
    
    Sibirsk. Mat. Zh., 62:2 (2021),  362–386
19. 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
20. 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
21. On Rational Approximation of Markov Functions by Partial Sums of Fourier Series on a Chebyshev–Markov System
    
    Mat. Zametki, 108:4 (2020),  572–587
22. Riesz – Zigmund means of rational Fourier – Chebyshev seriesand approximations of the function $|x|^s$
    
    Tr. Inst. Mat., 28:1-2 (2020),  74–90
23. 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


24. Letter to the editors
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 2021, no. 1,  97–99