Изменения
→Линейность
<tex>m_j(f) + m_j(g) \leq f(x) + g(x) \leq M_j(f) + M_j(g)</tex>
<tex>m_j(f) + m_j(g) \leq m_j(f + g) \leq M_j(f + g) \leq M_j(f) + \leq M_j(g)</tex>
Суммируем по <tex>j</tex>:
<tex>\underline{s}(f) + \underline{s}(g) \leq \underline{s}(f+g) \leq \int\limits_Eflimits_E(f+g ) \leq \overline{s}(f+g) \leq \overline{s}(f ) + \overline{s}(g)</tex>.
<tex>\underline{s}(f) + \underline{s}(g) \leq \int\limits_Ef+\int\limits_Eg</tex>, <tex>\int\limits_E(f+g)\leq \overline{s}(f) + \overline{s}(g)</tex>.
