The essay defined the proximate order and strong proximate order , studied the slowly increasing function and strictly increasing function , deduced the properties of the proximate order and strong proximate order and also studied the existance conditions of the strong proximate order 摘要在一般意義函數(shù)級(jí)的基礎(chǔ)上定義近似級(jí)和強(qiáng)近似級(jí),研究了緩慢增長(zhǎng)函數(shù)、嚴(yán)格增長(zhǎng)函數(shù),推導(dǎo)了近似級(jí)和強(qiáng)近似級(jí)的相關(guān)性質(zhì),并研究了一定條件下強(qiáng)近似級(jí)存在的條件。