Sharp estimates of approximation of periodic functions in Hölder spaces. - Yurii Kolomoitsev; Jürgen Prestin (J. Approx. Theory, 2015)

Lebesgue constants for polyhedral sets and polynomial interpolation on Lissajous-Chebyshev nodes. - Peter Dencker; Wolfgang Erb; Yurii Kolomoitsev; Tetiana Lomako (J. Complex., 2017)

Best approximations and moduli of smoothness of functions and their derivatives in Lp, 0p1. - Yurii Kolomoitsev (J. Approx. Theory, 2018)

On Lp-error of bivariate polynomial interpolation on the square. - Yurii Kolomoitsev; Tetiana Lomako; Jürgen Prestin (J. Approx. Theory, 2018)

Approximation by sampling-type operators in Lp-spaces. - Yurii Kolomoitsev; Maria Skopina (CoRR, 2020)

Approximation by periodic multivariate quasi-projection operators. - Yurii Kolomoitsev; Aleksandr V. Krivoshein; Maria Skopina (CoRR, 2020)

Uniform approximation by multivariate quasi-projection operators. - Yurii Kolomoitsev; Maria Skopina (CoRR, 2020)

Properties of moduli of smoothness in Lp(Rd). - Yurii Kolomoitsev; Sergey Tikhonov (J. Approx. Theory, 2020)

Asymptotics of the Lebesgue constants for bivariate approximation processes. - Yurii Kolomoitsev; Tetiana Lomako (Appl. Math. Comput., 2021)

Approximation by multivariate quasi-projection operators and Fourier multipliers. - Yurii Kolomoitsev; Maria Skopina (Appl. Math. Comput., 2021)

Sparse grid approximation in weighted Wiener spaces. - Yurii Kolomoitsev; Tetiana Lomako; Sergey Tikhonov (CoRR, 2021)

Approximation properties of periodic multivariate quasi-interpolation operators. - Yurii Kolomoitsev; Jürgen Prestin (J. Approx. Theory, 2021)

Sharp Lp-error estimates for sampling operators. - Yurii Kolomoitsev; Tetiana Lomako (CoRR, 2022)

Spline Representation and Redundancies of One-Dimensional ReLU Neural Network Models. - Gerlind Plonka; Yannick Riebe; Yurii Kolomoitsev (CoRR, 2022)

Approximation by quasi-interpolation operators and Smolyak's algorithm. - Yurii Kolomoitsev (J. Complex., 2022)

Sharp Lp-error estimates for sampling operators. - Yurii Kolomoitsev; Tetiana Lomako (J. Approx. Theory, 2023)

Marcinkiewicz-Zygmund inequalities in quasi-Banach function spaces. - Yurii Kolomoitsev; Sergey Tikhonov (CoRR, 2024)

Editorial: Approximation methods and analytical modeling using partial differential equations. - Kateryna Buryachenko; Marina Chugunova; Yurii Kolomoitsev (Frontiers Appl. Math. Stat., 2025)

Special measures of smoothness for approximation by sampling operators in Lp(ℝd). - Yurii Kolomoitsev (CoRR, 2025)