Geodesic
A mean value property for pairs of integrals
Acta mathematica Universitatis Comenianae, Tome 78 (2009) no. 1 
A. B. Mingarelli; J. M. Pacheco; A. Plaza. A mean value property for pairs of integrals. Acta mathematica Universitatis Comenianae, Tome 78 (2009) no. 1. http://geodesic.mathdoc.fr/item/AMUC_2009_78_1_a6/
@article{AMUC_2009_78_1_a6,
     author = {A. B. Mingarelli and J. M. Pacheco and A. Plaza},
     title = {A mean value property for pairs of integrals},
     journal = {Acta mathematica Universitatis Comenianae},
     year = {2009},
     volume = {78},
     number = {1},
     url = {http://geodesic.mathdoc.fr/item/AMUC_2009_78_1_a6/}
}
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Voir la notice de l'article provenant de la source Comenius University

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. <br><B>Keywords</b>:&nbsp; iteration; functional equation; multifunctions; upper semicontinuity. &nbsp;