S积分的分部求积及其应用

Integration by Parts for S-integral and Its Application

给出了 S 积分的分部求积公式(定理),应用这一公式将经典 Gronwall 不等式推广到 S 积分与S 可积函数类,推广了 K.Ostazewski 等人的工作.

A theorem of integration by parts for S-integral is given,and using the theorem a Gronwall-type inequality for the class of S-integrable functions is established.The later re- sult generalizes the classical Gronwall’s inequality and the result given by K.Oslaszewski and J.Soehacki.