arXiv subjects

Karen Keryan

Publications and source records attributed to Karen Keryan.

3 recordsLinked to original sources

arXiv2020

Orthoprojectors on perturbations of splines spaces

We show that $L^\infty$-norms of orthoprojectors on certain types of perturbations of spline spaces are bounded independently of the knot sequence. Explicit applications of this result are given, one of them being orthoprojectors onto Chebyshevian spline spaces.

math.FA↗

arXiv2018

Projection operators onto spaces of Chebyshev splines

We prove that the Chebyshev spline orthoprojectors are uniformly bounded on $L^\infty$.

math.FA↗

arXiv2015

Unconditionality of orthogonal spline systems in $H^1$

We give a simple geometric characterization of knot sequences for which the corresponding orthonormal spline system of arbitrary order $k$ is an unconditional basis in the atomic Hardy space $H^1[0,1]$.

math.FA↗