Yurii Kolomoitsev

Publication Activity (10 Years)

Years Active: 2015-2023
Publications (10 Years): 19

Top Topics

Piecewise Polynomial

Approximation Error

Error Estimates

Top Venues

J. Approx. Theory

Appl. Math. Comput.

Publications

Yurii Kolomoitsev, Tetiana Lomako
Sharp Lp-error estimates for sampling operators. J. Approx. Theory 294 (2023)
Yurii Kolomoitsev, Tetiana Lomako
-error estimates for sampling operators. CoRR (2022)
Yurii Kolomoitsev
Approximation by quasi-interpolation operators and Smolyak's algorithm. J. Complex. 69 (2022)
Gerlind Plonka, Yannick Riebe, Yurii Kolomoitsev
Spline Representation and Redundancies of One-Dimensional ReLU Neural Network Models. CoRR (2022)
Yurii Kolomoitsev, Tetiana Lomako
Asymptotics of the Lebesgue constants for bivariate approximation processes. Appl. Math. Comput. 403 (2021)
Yurii Kolomoitsev, Jürgen Prestin
Approximation properties of periodic multivariate quasi-interpolation operators. J. Approx. Theory 270 (2021)
Yurii Kolomoitsev, Maria Skopina
Approximation by multivariate quasi-projection operators and Fourier multipliers. Appl. Math. Comput. 400 (2021)
Yurii Kolomoitsev, Tetiana Lomako, Sergey Tikhonov
Sparse grid approximation in weighted Wiener spaces. CoRR (2021)
Yurii Kolomoitsev, Maria Skopina
-spaces. CoRR (2020)
Yurii Kolomoitsev, Maria Skopina
Approximation by multivariate quasi-projection operators and Fourier multipliers. CoRR (2020)
Yurii Kolomoitsev, Maria Skopina
Uniform approximation by multivariate quasi-projection operators. CoRR (2020)
Yurii Kolomoitsev, Jürgen Prestin
Approximation properties of periodic multivariate quasi-interpolation operators. CoRR (2020)
Yurii Kolomoitsev, Tetiana Lomako
Asymptotics of the Lebesgue constants for bivariate approximation processes. CoRR (2020)
Yurii Kolomoitsev, Aleksandr V. Krivoshein, Maria Skopina
Approximation by periodic multivariate quasi-projection operators. CoRR (2020)
Yurii Kolomoitsev, Sergey Tikhonov
Properties of moduli of smoothness in Lp(Rd). J. Approx. Theory 257 (2020)
Yurii Kolomoitsev
Approximation by quasi-interpolation operators and Smolyak's algorithm. CoRR (2020)
Yurii Kolomoitsev, Tetiana Lomako, Jürgen Prestin
On Lp-error of bivariate polynomial interpolation on the square. J. Approx. Theory 229 (2018)
Yurii Kolomoitsev
Best approximations and moduli of smoothness of functions and their derivatives in Lp, 0p1. J. Approx. Theory 232 (2018)
Peter Dencker, Wolfgang Erb, Yurii Kolomoitsev, Tetiana Lomako
Lebesgue constants for polyhedral sets and polynomial interpolation on Lissajous-Chebyshev nodes. J. Complex. 43 (2017)
Yurii Kolomoitsev, Jürgen Prestin
Sharp estimates of approximation of periodic functions in Hölder spaces. J. Approx. Theory 200 (2015)