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math.FA2020
Gelfand numbers of embeddings of Schatten classes
Aicke Hinrichs, Joscha Prochno, Jan Vybíral
Let and denote by and the corresponding Schatten classes of real matrices. We study the Gelfand numbers of natura…
math.NA2020
Lower Bounds for the Error of Quadrature Formulas for Hilbert Spaces
Aicke Hinrichs, David Krieg, Erich Novak +1
We prove lower bounds for the worst case error of quadrature formulas that use given sample points $\X_n = \{ x_1, \dots , x_n \}$. We are mainly interested in optimal point sets $…