M. Passenbrunner

activity

20102023

most citedUnconditionality of orthogonal spline systems in

L^{p}

18 citations · 38 across the 22 of their papers we have counts for

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Showing 2011Show all

2 papers · 1 filter

math.NA2011

Monotonicity of the Lebesgue constant for equally spaced knots

Markus Passenbrunner

Let $t_{i} = \frac{i}{n}$ for $i = 0, ..., n$ be equally spaces knots in the unit interval $[0, 1] .$ Let $S_{n}$ be the space of piecewise linear continuous functions on $[0, 1]$ …

math.NA2011

The Lebesgue Constant for the Periodic Franklin System

Markus Passenbrunner

We identify the torus with the unit interval $[0, 1)$ and let $n, ν \in N$ , $1 \leq ν \leq n - 1$ and $N := n + ν$ . Then we define the (partially equally spaced) knots \[ t_{j}=\{[c]{…