3 problems

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Optimal convergence order conjecture for numerical integration in critical logarithmic Sobolev spaces on spheres
Optimal convergence order conjecture. The order of convergence
Conjectureopennumerical-integration spherical-functions worst-case-errorarXiv posted 2 days ago
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Conjecture on monotonicity of worst-case error for spherical t-designs
Worst-case error monotonicity conjecture. For fixed $t$ , if $N'>N$ , then
Conjectureopennumerical-integration spherical-designs worst-case-errorarXiv posted 2 days ago
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Locality conjecture for worst-case errors of compact operators
Let $F$ be a Banach space, let $S$ be a continuous operator on $F$ , and let $e^{\rm all-wor}_n(S)$ denote its $n$ -th minimal worst-case error using arbitrary continuous linear info…
Conjectureopeninformation-based-complexity operator-theory worst-case-errorarXiv posted 2 days ago

Optimal convergence order conjecture for numerical integration in critical logarithmic Sobolev spaces on spheres