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ACTA
MATHEMATICA
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p. 65 - 70
A mean value property for pairs of integrals
A. B. Mingarelli, J. M. Pacheco and A. Plaza
Received: November 24, 2007; Revised: March 15, 2008; Accepted: March 20, 2008
Abstract. We show that for any two continuous real valued functions f, g on [0, 1], the problem
always has at least one solution c Î (0,1), for a general class of weight-functions. Some applications are given.
AMS Subject classification: Primary: 26A15, 34C10; Secondary: 35B05.
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