Abstract We study approximation properties of multivariate periodic functions from weighted Wiener spaces by sparse grid methods constructed with the help quasi-interpolation operators. The class such operators includes classical interpolation and sampling operators, Kantorovich-type scaling expansions associated wavelet constructions, others. obtain rate convergence corresponding in norms as w...

We use the connection between automata and logic to prove that a wide class of coalgebraic fixpoint logics enjoys uniform interpolation. To this aim, first we generalize one of the central results in coalgebraic automata theory, namely closure under projection, which is known to hold for weak-pullback preserving functors, to a more general class of functors, i.e.; functors with quasi-functorial...

We establish compactness interpolation results for bilinear operators of convolution type and product among quasi-Banach spaces. do not assume any auxiliary condition on the

This paper presents a provably convergent multifidelity optimization algorithm for unconstrained problems that does not require high-fidelity gradients. The method uses a radial basis function interpolation to capture the error between a high-fidelity function and a low-fidelity function. The error interpolation is added to the low-fidelity function to create a surrogate model of the high-fidel...