Sign intermixing for Riesz bases and frames measured in the Kantorovich–Rubinstein norm
نویسندگان
چکیده
We measure a sign interlacing phenomenon for Bessel sequences (uk) in L2 spaces terms of the Kantorovich–Rubinstein mass moving norm ‖uk‖KR. Our main observation shows that, quantitatively, rate at which ‖uk‖KR→0 heavily depends on Bernstein–Kolmogorov widths compact set Lipschitz functions. In particular, it dimension space. also establish lower bound convergence norms ‖uk‖X→0 basis/frame any larger function space X⊃L2.
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ژورنال
عنوان ژورنال: Journal of Approximation Theory
سال: 2022
ISSN: ['0021-9045', '1096-0430']
DOI: https://doi.org/10.1016/j.jat.2022.105798