English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

We measure a sign interlacing phenomenon for Bessel sequences $ (u_{k})$ in $L^{2}$ spaces in terms of the Kantorovich--Rubinstein mass moving norm $ \Vertu_{k}\Vert_{KR}$. Our main observation shows that, quantitatively, the rate ofthe decreasing $ \Vert u_{k}\Vert_{KR}\longrightarrow 0$ havily depends on S.Bernstein $ n$-widths of a compact of Lipschitz functions. In particular, itdepends on the dimension of the measure space. We have sharp results on theworst and the best rate of convergence of Kantorovich--Rubinstein norms offrames on $d$-dimensional cube. Those rates are sharp.

Sign intermixing for Riesz bases and frames measured in the Kantorovich-Rubinstein norm