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

14 pagesInternational audienceIn this note we introduce the notion of Newton-Côtes integral corrected by Lévy areas, which enables us to consider integrals of the type $\int f(y) dx,$ where f is a $C^{2m}$ function and x, y are real Hölderian functions with index > 1/(2m+1), for any integer m. We show that this concept extends the Newton-Côtes integral introduced in (Gradinaru et al., Ann. Inst. H. Poincaré Probab. Statist. 41 (4), 781-806, 2005), to a larger class of integrands. Then, we give a theorem of existence and uniqueness for differential equations driven by x, interpreted using this new integral

Correcting Newton–Côtes integrals by Lévy areas