I would like to prove that $$4CLh\int_0^t {\frac{{ds}}{{\left( {t - s + h} \right){{\left( {t - s} \right)}^{1 - \theta }}}}} \leq {C_1}{h^\theta }$$
where $\theta \in \left( {0,1} \right)$. $C, L, C_1 ,h$ are constants greater than $0$.
2026-03-26 08:14:49.1774512889
An inequality related to a semigroup of operators.
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