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math.NA2023
New lower bounds for the integration of periodic functions
David Krieg, Jan Vybiral
We study the integration problem on Hilbert spaces of (multivariate) periodic functions. The standard technique to prove lower bounds for the error of quadrature rules uses bump fu…
math.NA2019
A variant of Schur's product theorem and its applications
Jan Vybíral
We show the following version of the Schur's product theorem. If is a positive semidefinite matrix with all entries on the diagona…