数学研究与评论
數學研究與評論
수학연구여평론
JOURNAL OF MATHEMATICAL RESEARCH AND EXPOSITION
2005年
3期
407-413
,共7页
S-积分%Gronwall-Bellman不等式
S-積分%Gronwall-Bellman不等式
S-적분%Gronwall-Bellman불등식
S-integral%Gronwall-Bellman's inequality
S-积分是利用Thomson的局部系定义的一种广义Riemann积分.本文证明了针对S-积分的Gronwall-Bellman不等式.作为特例,我们也获得了针对Henstock积分和Burkill近似连续积分的Gronwall-Bellman不等式.
S-積分是利用Thomson的跼部繫定義的一種廣義Riemann積分.本文證明瞭針對S-積分的Gronwall-Bellman不等式.作為特例,我們也穫得瞭針對Henstock積分和Burkill近似連續積分的Gronwall-Bellman不等式.
S-적분시이용Thomson적국부계정의적일충엄의Riemann적분.본문증명료침대S-적분적Gronwall-Bellman불등식.작위특례,아문야획득료침대Henstock적분화Burkill근사련속적분적Gronwall-Bellman불등식.
The S-integral is a generalized integral of Riemann type which is defined in terms of the Thomson's local systems. In this note we prove Gronwall-Bellman's inequality for the S-integral. As special cases we also obtain Gronwall-Bellman's inequalities for the Henstock integral and the Burkill approximately continuous integral.
