2 problems

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The exact Stechkin constant conjecture at the critical uniform-metric scale
The exact Stechkin constant conjecture. For every $r\in\mathbb{N}$ ,
Conjectureopenapproximation-theory moduli-of-smoothness trigonometric-approximationarXiv posted 2 days ago
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Dzyadyk's conjecture on higher-order divided-difference trace conditions
Let $k>2$ and consider traces on arbitrary sets $E\subset\mathbb R$ of functions whose $k$ th modulus of smoothness is controlled by a prescribed modulus of smoothness of order $k$ .…
Conjectureopenapproximation-theory function-extension moduli-of-smoothnessarXiv posted 2 days ago

The exact Stechkin constant conjecture at the critical uniform-metric scale