Geodesic
Mean values of convexly arranged numbers and monotone rearrangements in reverse integral inequalities
Bollettino della Unione matematica italiana, Série 8, 8B (2005) no. 3, pp. 737-764

Voir la notice de l'article provenant de la source Biblioteca Digitale Italiana di Matematica

We analyse mean values of functions with values in the boundary of a convex two-dimensional set. As an application, reverse integral inequalities imply exactly the same inequalities for the monotone rearrangement. Sharp versions of the classical Gehring lemma, the Gurov-Resetnyak theorem and the Muckenhoupt theorem are obtained. 
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     author = {Clemens, Werner},
     title = {Mean values of convexly arranged numbers and monotone rearrangements in reverse integral inequalities},
     journal = {Bollettino della Unione matematica italiana},
     pages = {737--764},
     publisher = {mathdoc},
     volume = {Ser. 8, 8B},
     number = {3},
     year = {2005},
     zbl = {1115.26016},
     mrnumber = {MR2182427},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/BUMI_2005_8_8B_3_a13/}
}
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Clemens, Werner. Mean values of convexly arranged numbers and monotone rearrangements in reverse integral inequalities. Bollettino della Unione matematica italiana, Série 8, 8B (2005) no. 3, pp. 737-764. http://geodesic.mathdoc.fr/item/BUMI_2005_8_8B_3_a13/