1 citations · 1 across the 2 of their papers we have counts for
5 papers
Lower estimates for linear operators with smooth range
Johannes Nagler
We introduce a new method to prove lower estimates for the approximation error of general linear operators with smooth range in terms of classical moduli of smoothness and related…
Iterates of Markov operators and their limits
Johannes Nagler
It is well known that iterates of quasi-compact operators converge towards a spectral projection, whereas the explicit construction of the limiting operator is in general hard to o…
On the spectrum of positive finite-rank operators with a partition of unity property
Johannes Nagler
We characterize the spectrum of positive linear operators , where and are complex Banach function spaces with unit , having finite rank and a partition of uni…
Lower bounds for the approximation with variation-diminishing splines
Johannes Nagler, Paula Cerejeiras, Brigitte Forster
We prove lower bounds for the approximation error of the variation-diminishing Schoenberg operator on the interval in terms of classical moduli of smoothness depending on t…
A lower bound for the uniform Schoenberg operator
Johannes Nagler, Uwe Kähler
We present an estimate for the lower bound for the Schoenberg operator with equidistant knots in terms of the second order modulus of smoothness. We investigate the behaviour of it…