Publications

• Derevianko, N., Ullrich, T.
  A higher order Faber spline basis for sampling discretization of functions
  submitted | arXiv

• Derevianko, N., Prestin, J.
  Approximation of Gaussians by spherical Gauss-Laguerre basis in the weighted Hilbert space
  accepted for publication in ETNA | pdf

• Derevianko, N., Myroniuk, V., Prestin, J.
  On an orthogonal bivariate trigonometric Schauder basis for the space of continuous functions
  J. Approx. Theory, V. 238 (2019), P. 67-84 | pdf

• Derevianko, N., Myroniuk, V., Prestin, J.
  Characterization of local Besov spaces via wavelet basis expansions
  Front. Appl. Math. Stat. 3:4. doi: 10.3389/fams.2017.00004 | pdf

• Derev’yanko, N.V., Cheremshyns’ka, O.I.
  Linear Widths of the Classes S^Ω_{p,θ}B of Periodic Functions of Many Variables
  Zb. Pr. Inst. Mat. NAN Ukr. 12, No. 4, 165-185 (2015) (in Ukranian) | pdf

• Derev’yanko, N.V.
  Estimations of Linear Widths of the Classes B^Ω_{p,θ} of Periodic Functions of Many Variables in the Space L_q
  Ukr. Math. J. 66, No. 7, 1013-1027 (2014); translation from Ukr. Mat. Zh. 66, No. 7, 909-921 (2014). | pdf

• Derev’yanko, N.V.
  Approximation of the Classes H^Ω_p of Periodic Functions of Many Variables in the Space L_p
  Ukr. Math. J. 66, No. 5, 707-718 (2014); translation from Ukr. Mat. Zh. 66, No. 5, 634-644 (2014) | pdf

• Derev’yanko, N.V.
  Estimates of Linear Widths of the Classes H^Ω_p of Periodic Functions of Many Variables in the Space L_q
  Zb. Pr. Inst. Mat. NAN Ukr. 11, No. 3, 128 - 145 (2014) (in Ukrainian) | pdf

• Derev'yanko, N.V.
  Estimates of the Ortho-projective Widths of Classes B^Ω_{p,θ} of Periodic Functions of Many Variables in the Space L_q
  Zb. Pr. Inst. Mat. NAN Ukr. 10, No. 1, 95-109 (2013). (in Ukrainian) | pdf

• Derev'yanko, N.V.
  Ortho-projective Widths of Classes of Periodic Functions of Many Variables
  Zb. Pr. Inst. Mat. NAN Ukr. 9, No. 2, 146-156 (2012) (in Ukranian) | pdf

• Derev’yanko, N.V.
  Trigonometric Widths of Classes of Periodic Functions of Many Variables
  Ukr. Math. J. 64, No. 8, 1185-1198 (2013); translation from Ukr. Mat. Zh. 64, No. 8, 1041-1052 (2012) | pdf