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A converse of the mean value theorem for integrals

✍ Scribed by Tong, Jingcheng; Braza, Peter A.


Book ID
125529220
Publisher
Taylor and Francis Group
Year
2002
Tongue
English
Weight
136 KB
Volume
33
Category
Article
ISSN
0020-739X

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We prove a rather general mean-value formula in the theory of elasticity, which expresses the value of the displacement at the centre of a sphere in terms of certain combinations of integral averages over the sphere itself of the traction and the displacement. We also establish the corresponding con