S. Tikhonov

activity

20052023

most citedNikolskii inequality and functional classes on compact Lie groups

9 citations · 47 across the 25 of their papers we have counts for

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3 papers · 1 filter

math.NA2022★ 1 cited

On the cardinality of lower sets and universal discretization

F. Dai, A. Prymak, A. Shadrin +2

A set $Q$ in $Z_{+}^{d}$ is a lower set if $(k_{1}, \dots, k_{d}) \in Q$ implies $(l_{1}, \dots, l_{d}) \in Q$ whenever $0 \leq l_{i} \leq k_{i}$ for all $i$ . We derive new and refine known results…

math.NA2021

Sparse grid approximation in weighted Wiener spaces

Yurii Kolomoitsev, Tetiana Lomako, Segey Tikhonov

We study approximation properties of multivariate periodic functions from weighted Wiener spaces by sparse grids methods constructed with the help of quasi-interpolation operators.…

math.NA2013

Bernstein inequalities with nondoubling weights

Andriy Bondarenko, Sergey Tikhonov

We answer Totik's question on weighted Bernstein's inequalities showing that $∥ T_{n}^{'} ∥_{L_{p} (ω)} \leq C (p, ω) n ∥ T_{n} ∥_{L_{p} (ω)}, 0 < p \leq \infty,$ holds for all trigonom…