函数项级数的逐项积分和逐项微分

ON INTEGRATION AND DIFFERENTIATION BY TERMS FOR SERIES

本文通过实例说明函数项级数的逐项积分与逐项微分定理中的一致收敛的条件不能减弱成亚一致收敛。

This paper presents some examples to show that the condition of uniform convergence can not be weakened to the condition of quasi-uniform convergence.