An extension of the mean value theorem for integrals

被引：4

作者：

Khalili, Parviz ^{[1
]}

Vasiliu, Daniel ^{[1
]}

机构：

[1] Christopher Newport Univ, Dept Math, Newport News, VA 23606 USA

来源：

INTERNATIONAL JOURNAL OF MATHEMATICAL EDUCATION IN SCIENCE AND TECHNOLOGY | 2010年 / 41卷 / 05期

关键词：

mean value; integrals; p-series;

D O I：

10.1080/00207391003606476

中图分类号：

G40 [教育学];

学科分类号：

040101 ; 120403 ;

摘要：

In this note we present an extension of the mean value theorem for integrals. The extension we consider is motivated by an older result (here referred as Corollary 2), which is quite classical for the literature of Mathematical Analysis or Calculus. We also show an interesting application for computing the sum of a harmonic series.

引用

页码：707 / 710

页数：4

共 4 条

[1] ON THE MEAN-VALUE THEOREM FOR INTEGRALS [J].

JACOBSON, B .

AMERICAN MATHEMATICAL MONTHLY, 1982, 89 (05) :300-301

[2] A physically motivated further note on the mean value theorem for integrals [J].

Schwind, WJ ;

Ji, J ;

Koditschek, DE .

AMERICAN MATHEMATICAL MONTHLY, 1999, 106 (06) :559-564

[3] APPLICATION OF A MEAN-VALUE THEOREM FOR INTEGRALS TO SERIES SUMMATION [J].

STARK, EL .

AMERICAN MATHEMATICAL MONTHLY, 1978, 85 (06) :481-483

[4]

Tong J., 2002, COLL MATH J, V33, P408

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