Sparse Grid Approximation in Weighted Wiener Spaces

نویسندگان

چکیده

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 well analogues Littlewood–Paley-type characterizations terms families

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ژورنال

عنوان ژورنال: Journal of Fourier Analysis and Applications

سال: 2023

ISSN: ['1531-5851', '1069-5869']

DOI: https://doi.org/10.1007/s00041-023-09994-2