Using periodic Strang--Fix conditions, we can give an approach to error estimates for periodic interpolation on equidistant and sparse grids for functions from certain Besov spaces.

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CWI
Modelling, Analysis and Simulation [MAS]

Sickel, W, & Sprengel, F. (1998). Some error estimates for periodic interpolation of functions from Besov spaces. Modelling, Analysis and Simulation [MAS]. CWI.