# [1]赵显曾.关于积分第二中值定理的一个注记[J].东南大学学报(自然科学版),1988,18(5):47-52.[doi:10.3969/j.issn.1001-0505.1988.05.007] 　Zhao Xianzeng (Department of Mathematics and Mechanics).A Note on the Second Mean Value Theorem for Integrals[J].Journal of Southeast University (Natural Science Edition),1988,18(5):47-52.[doi:10.3969/j.issn.1001-0505.1988.05.007] 点击复制 关于积分第二中值定理的一个注记() 分享到： var jiathis_config = { data_track_clickback: true };

18

1988年第5期

47-52

1988-09-20

## 文章信息/Info

Title:
A Note on the Second Mean Value Theorem for Integrals

Author(s):
Zhao Xianzeng (Department of Mathematics and Mechanics)

Keywords:

+
DOI:
10.3969/j.issn.1001-0505.1988.05.007

Abstract:
Adding a condition in the second mean-value theorem the author obtains Theorem 3, that is, if f is a nonnegative, monotone decreasing function defined on [a, b] and f(a+0)-f(b-0)>0, g is a Riemann integrable function, then there is a point ξ∈(a, b) that integral from a to b(f(x)g(x)dx=f(a)integral from α to ξ(g(x)dx).

## 相似文献/References:

[1]赵显曾.关于Riemann可积函数的本性[J].东南大学学报(自然科学版),1995,25(6):9.[doi:10.3969/j.issn.1001-0505.1995.06.002]
Zhao Xianzeng.On Essential Feature of Kiemann-Integrable Functions[J].Journal of Southeast University (Natural Science Edition),1995,25(5):9.[doi:10.3969/j.issn.1001-0505.1995.06.002]