2 problems

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Basic conjecture on sampling-error scaling for discrete Hölder data
Basic conjecture. For any function from the Hölder class given by its discrete values, one can specify a sample size $N$ such that there is an interval $[\alpha,\beta]$ on which
Conjectureopenepsilon-complexity holder-functions samplingarXiv posted 2 days ago
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Affine logarithmic complexity for Hölder functions on discrete grids
Discrete-grid complexity conjecture. For Hölder-class functions, the following equality should hold:
Conjectureopenepsilon-complexity holder-functions samplingarXiv posted 2 days ago

Basic conjecture on sampling-error scaling for discrete Hölder data