Refined Gauss--Lobatto bounds for odd-order convexity B3MNVE9149

URI	`m2://res/B3MNVE9149`
Kind	preprint
Creators	Tomasz Kania, Szymon Wąsowicz
Date	2026-09-28
MSC	65-XX, 26-XX
Subjects	arxiv math.NA, arxiv cs.NA, arxiv math.CA
Scope	in

Expressions

The mentions of the inventory that name this resource. Each name links to the card of its inventory row.

Item	Kind	Where	Source
1ZYGQPNA3J	statement	proposition 6.1	arxiv
Radau quadrature kernel	definition	definition 7.2	arxiv
Peano kernel representations	statement	lemma 4.4	arxiv
A degree-$2n+1$ combination	statement	proposition 6.3	arxiv
A certified estimator	statement	proposition 5.1	arxiv
Principal error constant of the certified estimator	statement	proposition 6.2	arxiv
Refined Gauss--Lobatto inequality	statement	theorem 4.7	arxiv
Composite certified bound	statement	proposition 5.5	arxiv
DKGT8TTS2W	definition	definition 4.3	arxiv
Best interval-based affine estimate	statement	proposition 5.2	arxiv
Oddness and sign change	statement	theorem 7.3	arxiv
Sharpness	statement	proposition 5.3	arxiv
No universal refinement in even order	statement	corollary 7.4	arxiv
Kernel dominance	statement	lemma 4.5	arxiv
Representation by truncated powers	statement	theorem 2.4	arxiv
Gauss and Lobatto bracket	statement	theorem 4.1	arxiv
Higher-order convexity	definition	definition 2.1	arxiv
Radau bracket	statement	theorem 7.1	arxiv