On one rational integral operator of Fourier – Chebyshev type and approximation of Markov functions
P. G. Potseiko, Y. A. Rovba, K. A. Smotritskii

This publication is cited in the following articles:

1. P. G. Patseika, “On estimates of uniform approximations of some classes of functions by the Fourier – Chebyshev rational integral operator”, Vescì Akademìì navuk Belarusì. Seryâ fizika-matematyčnyh navuk, 61:1 (2025), 7  
2. P. Patseika, Y. Rouba, K. Smatrytski, “On the Riesz summation of rational Fourier-Chebyshev integral operators and approximations of functions with a power singularity”, Anal Math, 2025  
3. P. G. Potseiko, E. A. Rovba, “The Riesz–Zygmund Sums of Fourier–Chebyshev Rational Integral Operators and Their Approximation Properties”, Sib Math J, 65:1 (2024), 118  
4. P. G. Potsejko, E. A. Rovba, “On approximations of a singular integral on a segment by Fourier–Chebyshevʼs rational integral operators”, Dokl. Akad. nauk, 68:2 (2024), 95  
5. P. G. Potseiko, E. A. Rovba, “Ob approksimatsiyakh integrala Rimana–Liuvillya na otrezke ratsionalnymi integralnymi operatorami Fure–Chebysheva”, Trudy Instituta matematiki NAN Belarusi, 32:1 (2024), 38–56  
6. P. G. Potseiko, “O ratsionalnykh approksimatsiyakh sopryazhennoi funktsii na otrezke sopryazhennymi summami Valle Pussena”, PFMT, 2024, no. 3(60), 59–70    
7. P. G. Potseiko, E. A. Rovba, “Approximations of one singular integral on an interval by Fourier–Chebyshev rational integral operators”, Sb. Math., 215:7 (2024), 953–992              
8. P. G. Potseiko, E. Rovba, S. V. Kislyakov, “Vallée Poussin sums of rational Fourier–Chebyshev integral operators and approximations of the Markov function”, St. Petersburg Math. J., 35:5 (2024), 879  
9. P. G. Potseiko, “O ratsionalnykh sopryazhennykh summakh Feiera na otrezke i approksimatsiyakh sopryazhennoi funktsii”, PFMT, 2023, no. 2(55), 56–67    
10. N. Yu. Kazlouskaya, Ya. A. Rovba, “On the approximation of the | sin |s x function by rational trigonometric operators of the Fejér type”, Vescì Akademìì navuk Belarusì. Seryâ fizika-matematyčnyh navuk, 59:2 (2023), 95  
11. P. G. Potseiko, E. A. Rovba, “O ratsionalnykh approksimatsiyakh funktsii Markova na otrezke summami Feiera s fiksirovannym kolichestvom polyusov”, Tr. In-ta matem., 30:1-2 (2022), 63–83    
12. P. G. Potseiko, Ye. A. Rovba, “Conjugate rational Foutier–Chebyshev operator and its approximation properties”, Russian Math. (Iz. VUZ), 66:3 (2022), 35–49        
13. P. G. Potseiko, E. A. Rovba, “O ratsionalnykh summakh Abelya-Puassona na otrezke i approksimatsiyakh funktsii Markova”, Zhurn. Belorus. gos. un-ta. Matem. Inf., 3 (2021), 6–24    
14. N. Yu. Kazlouskaya, Ya. A. Rovba, “Approximation of the function |sin x| s by the partial sums of the trigonmometric rational fourier series”, Dokl. Akad. nauk, 65:1 (2021), 11