A generalized mean-value theorem |
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Authors: | Juan Arias de Reyna |
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Affiliation: | (1) Facultad de Matemáticas, Universidad de Sevilla, Apdo. 1160, 41080 Sevilla, Spain |
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Abstract: | We give another proof of Seymour and Zaslavsky's theorem: For every familyf1,f2,...,fn of continous functions defined on [0, 1], there exists a finite setF [0, 1] such that the average sum offk overF coincides with the integral offk for everyk=1, 2,...,n. |
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