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http://hdl.handle.net/11133/2017
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Title: | 積分の平均値の定理の拡張 |
Other Titles: | Generalizations of the Mean Value Theorem of Integral |
Authors: | 樋口, 功 HIGUCHI, Isao |
Issue Date: | 31-Mar-2002 |
Publisher: | 愛知工業大学 |
Abstract: | Let f(x) be continuous on the closed interval [a, b]. By the mean value theorem of integral, there exists a point ξ on [a, b] satisfying [numerical formula] In other word, we can find a point ξ∈[a, b] such that the straight line l defined by y=f^^~(x)=f(ξ) passing the point (ξ, f(ξ) and Parallel to the x-axis satisfies y = f^^~(x) [numerical formula] The aim of the present paper is to generalize the above mean value theorem of integration. First, we shall prove the following |
URI: | http://hdl.handle.net/11133/2017 |
Appears in Collections: | 37号
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