 Nikolsky class

ID: nikolsky-class

The

L^{2}

Nikolsky class

N (β, L)

consists of functions with

r = ⌊ β ⌋

square-integrable derivatives whose highest derivative obeys the translation bound

∥ g^{(r)} (\cdot + t) - g^{(r)} ∥_{2} \leq L ∣ t ∣^{β - r},

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