9 citations · 47 across the 25 of their papers we have counts for
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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.FA2021
New estimates for the maximal functions and applications
Oscar Domínguez, Sergey Tikhonov
In this paper we study sharp pointwise inequalities for maximal operators. In particular, we strengthen DeVore's inequality for the moduli of smoothness and a logarithmic variant o…