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

In this work we consider the problem of recovering non-uniform splines fromtheir projection onto spaces of algebraic polynomials. We show that under acertain Chebyshev-type separation condition on its knots, a spline whoseinner-products with a polynomial basis and boundary conditions are known, canbe recovered using Total Variation norm minimization. The proof of theuniqueness of the solution uses the method of `dual' interpolating polynomialsand is based on \cite{SR}, where the theory was developed for trigonometricpolynomials. We also show results for the multivariate case.

Exact recovery of non-uniform splines from the projection onto spaces of algebraic polynomials