Sharp estimates are established for the discrete optimal constant of the fractional Sobolev inequality under Galerkin approximation with piecewise linear elements on quasi-uniform meshes in the unit ball.
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Galerkin Approximation of the Fractional Sobolev Constant
Sharp estimates are established for the discrete optimal constant of the fractional Sobolev inequality under Galerkin approximation with piecewise linear elements on quasi-uniform meshes in the unit ball.