Romanyuk Anatolii
Publications
- Approximation of the Besov classes of periodic function of several variables in a space $L_q$ // Ukrain. Math. J. - 1991. - Vol.43, ¹1. - P.1297-1306.
- The best trigonometric approimations and the Kolmogorov diameters of the Besov classes of functions of mane variables // Ukrain. Math. J. - 1993. - Vol.45, ¹5. - P.724-738.
- On estimates of approximation characteristics of the Besov classes of periodic functions of many variables // Ukrain. Math. J. - 1997. - Vol.49, ¹9. - P.1409-1422.
- On estimates of the Kolmogorov widths of the classes $B^r_{p,\theta}$ in the space$L_q$ // Ukrain. Math. J. - 2001. - Vol.53, ¹7. - P.1189-1196.
- Approximation of classes of periodic functions of several variables // Math. Notes. - 2002. - Vol.71, ¹1. - P.98-109.
- Best $M$-term trigonometric approximations of Besov classes of periodic functions of several variables // Izvestiya: Math. - 2003. - Vol. 67, ¹2. - P.265-302.
- Approximation of the classes $B^r_{p,\theta}$ of periodic functions of several variables by liner methods and best approximations // Math. sb. - 2004. - Vol.195, ¹2. - P.237-261.
- Best Kolmogorov and trigonometric widths of the Besov classes $B^r_{p,\theta}$ of multivariate periodic functions // Math. sb. - 2006. - Vol.197, ¹1. - P.71-96.
- Bilinear and trigonometric approximations of periodic functions of several variables of Besov classes $B^r_{p,\theta}$ // Izvestiya: Math. - 2006. - Vol. 70, ¹2. - P.69-98.
- Best trigonometric approximations for same classes of periodic functions of several variables in the uniform metric // Math. Notes. - 2007. - Vol.82, ¹2. - P.247-261.
- Best approximations and width of classes of periodic functions of several variables // Math. sb. - 2008. - Vol.198, ¹2. - P.93-114.
Romanyuk A. S., Romanyuk V. S. Bilinear approximations of the classes $B^r_{p,\theta}$ of periodic multivariate functions // Math. Analysis, Differential equations and applications. Sofia: Academic Publishing House "Prof. Harin Drinov" – 2011., P. 139 - 148.
- The best trigonometric approimations and the Kolmogorov diameters of the Besov classes of functions of mane variables // Ukrain. Math. J. - 1993. - Vol.45, ¹5. - P.724-738.
- On estimates of approximation characteristics of the Besov classes of periodic functions of many variables // Ukrain. Math. J. - 1997. - Vol.49, ¹9. - P.1409-1422.
- On estimates of the Kolmogorov widths of the classes $B^r_{p,\theta}$ in the space$L_q$ // Ukrain. Math. J. - 2001. - Vol.53, ¹7. - P.1189-1196.
- Approximation of classes of periodic functions of several variables // Math. Notes. - 2002. - Vol.71, ¹1. - P.98-109.
- Best $M$-term trigonometric approximations of Besov classes of periodic functions of several variables // Izvestiya: Math. - 2003. - Vol. 67, ¹2. - P.265-302.
- Approximation of the classes $B^r_{p,\theta}$ of periodic functions of several variables by liner methods and best approximations // Math. sb. - 2004. - Vol.195, ¹2. - P.237-261.
- Best Kolmogorov and trigonometric widths of the Besov classes $B^r_{p,\theta}$ of multivariate periodic functions // Math. sb. - 2006. - Vol.197, ¹1. - P.71-96.
- Bilinear and trigonometric approximations of periodic functions of several variables of Besov classes $B^r_{p,\theta}$ // Izvestiya: Math. - 2006. - Vol. 70, ¹2. - P.69-98.
- Best trigonometric approximations for same classes of periodic functions of several variables in the uniform metric // Math. Notes. - 2007. - Vol.82, ¹2. - P.247-261.
- Best approximations and width of classes of periodic functions of several variables // Math. sb. - 2008. - Vol.198, ¹2. - P.93-114.
Romanyuk A. S., Romanyuk V. S. Bilinear approximations of the classes $B^r_{p,\theta}$ of periodic multivariate functions // Math. Analysis, Differential equations and applications. Sofia: Academic Publishing House "Prof. Harin Drinov" – 2011., P. 139 - 148.