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math.PR2021
Martingale convergence Theorems for Tensor Splines
Markus Passenbrunner
In this article we prove martingale type pointwise convergence theorems pertaining to tensor product splines defined on -dimensional Euclidean space ( is a positive integer),…
math.PR2015★ 2 cited
Estimating averages of order statistics of bivariate functions
Richard Lechner, Markus Passenbrunner, Joscha Prochno
We prove uniform estimates for the expected value of averages of order statistics of bivariate functions in terms of their largest values by a direct analysis. As an application, u…
math.PR2014★ 1 cited
Uniform Estimates for Averages of Order Statistics of Matrices
Richard Lechner, Markus Passenbrunner, Joscha Prochno
We prove uniform estimates for the expected value of averages of order statistics of matrices in terms of their largest entries. As an application, we obtain similar probabilistic…