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math.FA2020
Adaptive sampling recovery of functions with higher mixed regularity
Nadiia Derevianko, Tino Ullrich
We tensorize the Faber spline system from [14] to prove sequence space isomorphisms for multivariate function spaces with higher mixed regularity. The respective basis coefficients…
math.FA2019★ 9 cited
A higher order Faber spline basis for sampling discretization of functions
Nadiia Derevianko, Tino Ullrich
This paper is devoted to the question of constructing a higher order Faber spline basis for the sampling discretization of functions with higher regularity than Lipschitz. The basi…