arXiv (All)
open access
Refined Gauss--Lobatto bounds for odd-order convexity
For functions that are convex of higher order, classical extremalities identify Gaussian quadrature as a lower bound and Gauss--Lobatto quadrature as an upper bound for the integral. We sharpen this bracket in every odd order: if $f$ is $(2n-1)$-convex on $[-1,1]$, then the exact integral $I[f]:=\in
Conceptio Open Archive
Analyze & explore related research in Conceptio
Connect this record directly into your research workflow or AI agent. Explore citations across open repositories, query full text, and export structured proof bundles.
This document is indexed with metadata only: full text is not available in the archive for this record. Open the official source ↗
Related documents
- Stochastic Domination of Gaussian Maxima by the Regular Simplex#1075922
- Sharp Lovasz-Theta Bounds on Random Graphs#1078135
- Convex Order Comparisons for Sub-Gamma Random Variables#924281
- Convex Order Comparisons for Sub-Gamma Random Variables#920050
- MaxCut for $\mathrm{MTP}_2$ Covariances#997353
Record · ID 1129528
Retrieved via Conceptio: every document is proof-bundled with source, license, and retrieval metadata.
Retrieved via Conceptio: every document is proof-bundled with source, license, and retrieval metadata.
Bring this data into your agent: Connect via MCP or API · 20 free credits to start · no card required
Read the Docs → · View CLI source on GitHub · Conceptio Open Knowledge Archive
Read the Docs → · View CLI source on GitHub · Conceptio Open Knowledge Archive