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math.NA2024
Some lower bounds for optimal sampling recovery of functions with mixed smoothness
A. Gasnikov, V. Temlyakov
Recently, there was a substantial progress in the problem of sampling recovery on function classes with mixed smoothness. Mostly, it has been done by proving new and sometimes opti…
math.NA2024
Sampling recovery on function classes with a structural condition
V. Temlyakov
Sampling recovery on some function classes is studied in this paper. Typically, function classes are defined by imposing smoothness conditions. It was understood in nonlinear appro…
math.NA2024★ 4 cited
Sparse sampling recovery in integral norms on some function classes
V. Temlyakov
This paper is a direct followup of the recent author's paper. In this paper we continue to analyze approximation and recovery properties with respect to systems satisfying universa…