Interpolation theory provides a systematic means of constructing intermediate spaces between two given function spaces, capturing properties such as smoothness, integrability and decay in a single ...
Fractal interpolation functions (FIFs) arise from the marriage of classical interpolation and fractal geometry, yielding curves that exactly pass through prescribed data points while exhibiting ...
Eric Larson and Isabel Vogt have solved the interpolation problem — a centuries-old question about some of the most basic objects in geometry. Some credit goes to the chalkboard in their living room.