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 Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

This paper gives three theorems regarding functions integrable on [−1, 1] with respect to Jacobi weights and having nonnegative coefficients in their (Fourier–)Jacobi expansions. We show that the Lp-integrability (with respect to the Jacobi weight) on an interval near 1 implies the Lp-integrability on the whole interval if p is an even integer. The Jacobi expansion of a function locally in L∞ near 1 is shown to converge uniformly and absolutely on [−1, 1]; in particular, such a function is shown to be continuous on [−1, 1]. Similar results are obtained for functions in local Besov approximation spaces.

Wiener type theorems for Jacobi series with nonnegative coefficients