Braides, AndreaCausin, AndreaSolci, Margherita2023-06-222023-06-222023-01-22http://hdl.handle.net/1963/35461SISSA 09/2023/MATEWe study a discrete approximation of functionals depending on nonlocal gradients. The discretized functionals are proved to be coercive in classical Sobolev spaces. The key ingredient in the proof is a formulation in terms of circulant Toeplitz matrices.ennonlocal gradientsperidynamicsfractional Sobolev spacesdiscrete approximationsdiscrete-to-continuum convergencePreprint