Stasyuk Serhii
Publications
Stasyuk, S.A. Approximation of the classes B^ω_{p,θ} of periodic functions of several variables by polynomials with a spectrum in cubic domains. (Ukrainian) Mat. Stud. 35 (2011), no. 1, 66–73.
Stasyuk, S.A. Best m-term trigonometric approximation for the classes B^r_{p,θ} of functions of low smoothness. Ukrainian Math. J. 62 (2010), no. 1, 114–122.
Stasyuk, S.A. Best approximations of periodic functions of several variables from the classes B^Ω_{p,θ}. (Russian) Mat. Zametki 87 (2010), no. 1, 108--121; translation in Math. Notes 87 (2010), no. 1-2, 102–114.
Stasyuk, S.A. Approximation of functions of several variables from the classes H^Ω_p by polynomials in the Haar system. (Russian) Anal. Math. 35 (2009), no. 4, 257–271.
Konograĭ, A.F.; Stasyuk, S.A. Best M-term trigonometric approximations of the classes BΩp,θ of periodic functions of several variables in the space Lq. (Ukrainian) Ukraïn. Mat. Zh. 60 (2008), no. 9, 11968--1214; translation in Ukrainian Math. J. 60 (2008), no. 9, 1396–1417.
Stasyuk, S.A. The best M-term orthogonal trigonometric approximations of the classes B^Ω_{p,θ} of periodic functions of several variables. (Ukrainian) Ukraïn. Mat. Zh. 60 (2008), no. 5, 647--656; translation in Ukrainian Math. J. 60 (2008), no. 5, 744–757.
Stasyuk, S.A.; Fedunik, O.V. Approximation characteristics of the classes B^Ω_{p,θ} of periodic functions of several variables. (Ukrainian) Ukraïn. Mat. Zh. 58 (2006), no. 5, 692--704; translation in Ukrainian Math. J. 58 (2006), no. 5, 779–793.
Stasyuk, S.A. Best approximations and Kolmogorov and trigonometric widths of the classes B^Ω_{p,θ} of periodic functions of several variables. (Ukrainian) Ukraïn. Mat. Zh. 56 (2004), no. 11, 1557--1568; translation in Ukrainian Math. J. 56 (2004), no. 11, 1849–1863.
Stasyuk, S.A. Best trigonometric approximations of the classes B^Ω_{p,θ} of periodic functions of several variables in the space Lq. (Ukrainian) Extremal problems in the theory of functions and related problems (Ukrainian), 265–275, Pr. Inst. Mat. Nats. Akad. Nauk Ukr. Mat. Zastos., 46, Natsīonal. Akad. Nauk Ukraïni, Īnst. Mat., Kiev, 2003.
Stasyuk, S.A. Best orthogonal trigonometric approximations of the classes B^Ω_{p,θ} of periodic functions of several variables. (Ukrainian) Theory of the approximation of functions and related problems (Ukrainian), 195–208, Pr. Inst. Mat. Nats. Akad. Nauk Ukr. Mat. Zastos., 35, Natsīonal. Akad. Nauk Ukraïni, Īnst. Mat., Kiev, 2002.
Stasyuk, S.A. Approximation of the classes B^Ω_{p,θ} of periodic functions of several variables in a uniform metric. (Ukrainian) Ukraïn. Mat. Zh. 54 (2002), no. 11, 1551--1559; translation in Ukrainian Math. J. 54 (2002), no. 11, 1885–1896.
Stasyuk, S.A. Trigonometric widths of the classes B^Ω_{p,θ} of periodic multivariate functions. (Ukrainian) Ukraïn. Mat. Zh. 54 (2002), no. 5, 700--705; translation in Ukrainian Math. J. 54 (2002), no. 5, 862–868.
Stasyuk, S.A. Best M-term trigonometric approximations of the classes B^Ω_{p,θ} of functions of several variables. (Ukrainian) Ukraïn. Mat. Zh. 54 (2002), no. 3, 381--394; translation in Ukrainian Math. J. 54 (2002), no. 3, 470–486.
Stasyuk, S.A. Best m-term trigonometric approximation for the classes B^r_{p,θ} of functions of low smoothness. Ukrainian Math. J. 62 (2010), no. 1, 114–122.
Stasyuk, S.A. Best approximations of periodic functions of several variables from the classes B^Ω_{p,θ}. (Russian) Mat. Zametki 87 (2010), no. 1, 108--121; translation in Math. Notes 87 (2010), no. 1-2, 102–114.
Stasyuk, S.A. Approximation of functions of several variables from the classes H^Ω_p by polynomials in the Haar system. (Russian) Anal. Math. 35 (2009), no. 4, 257–271.
Konograĭ, A.F.; Stasyuk, S.A. Best M-term trigonometric approximations of the classes BΩp,θ of periodic functions of several variables in the space Lq. (Ukrainian) Ukraïn. Mat. Zh. 60 (2008), no. 9, 11968--1214; translation in Ukrainian Math. J. 60 (2008), no. 9, 1396–1417.
Stasyuk, S.A. The best M-term orthogonal trigonometric approximations of the classes B^Ω_{p,θ} of periodic functions of several variables. (Ukrainian) Ukraïn. Mat. Zh. 60 (2008), no. 5, 647--656; translation in Ukrainian Math. J. 60 (2008), no. 5, 744–757.
Stasyuk, S.A.; Fedunik, O.V. Approximation characteristics of the classes B^Ω_{p,θ} of periodic functions of several variables. (Ukrainian) Ukraïn. Mat. Zh. 58 (2006), no. 5, 692--704; translation in Ukrainian Math. J. 58 (2006), no. 5, 779–793.
Stasyuk, S.A. Best approximations and Kolmogorov and trigonometric widths of the classes B^Ω_{p,θ} of periodic functions of several variables. (Ukrainian) Ukraïn. Mat. Zh. 56 (2004), no. 11, 1557--1568; translation in Ukrainian Math. J. 56 (2004), no. 11, 1849–1863.
Stasyuk, S.A. Best trigonometric approximations of the classes B^Ω_{p,θ} of periodic functions of several variables in the space Lq. (Ukrainian) Extremal problems in the theory of functions and related problems (Ukrainian), 265–275, Pr. Inst. Mat. Nats. Akad. Nauk Ukr. Mat. Zastos., 46, Natsīonal. Akad. Nauk Ukraïni, Īnst. Mat., Kiev, 2003.
Stasyuk, S.A. Best orthogonal trigonometric approximations of the classes B^Ω_{p,θ} of periodic functions of several variables. (Ukrainian) Theory of the approximation of functions and related problems (Ukrainian), 195–208, Pr. Inst. Mat. Nats. Akad. Nauk Ukr. Mat. Zastos., 35, Natsīonal. Akad. Nauk Ukraïni, Īnst. Mat., Kiev, 2002.
Stasyuk, S.A. Approximation of the classes B^Ω_{p,θ} of periodic functions of several variables in a uniform metric. (Ukrainian) Ukraïn. Mat. Zh. 54 (2002), no. 11, 1551--1559; translation in Ukrainian Math. J. 54 (2002), no. 11, 1885–1896.
Stasyuk, S.A. Trigonometric widths of the classes B^Ω_{p,θ} of periodic multivariate functions. (Ukrainian) Ukraïn. Mat. Zh. 54 (2002), no. 5, 700--705; translation in Ukrainian Math. J. 54 (2002), no. 5, 862–868.
Stasyuk, S.A. Best M-term trigonometric approximations of the classes B^Ω_{p,θ} of functions of several variables. (Ukrainian) Ukraïn. Mat. Zh. 54 (2002), no. 3, 381--394; translation in Ukrainian Math. J. 54 (2002), no. 3, 470–486.