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

Zbl   MR

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. 
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/
@article{BUMI_2005_8_8B_3_a13,
     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},
     year = {2005},
     volume = {Ser. 8, 8B},
     number = {3},
     zbl = {1115.26016},
     mrnumber = {MR2182427},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/BUMI_2005_8_8B_3_a13/}
}
TY  - JOUR
AU  - Clemens, Werner
TI  - Mean values of convexly arranged numbers and monotone rearrangements in reverse integral inequalities
JO  - Bollettino della Unione matematica italiana
PY  - 2005
SP  - 737
EP  - 764
VL  - 8B
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/BUMI_2005_8_8B_3_a13/
LA  - en
ID  - BUMI_2005_8_8B_3_a13
ER  - 
%0 Journal Article
%A Clemens, Werner
%T Mean values of convexly arranged numbers and monotone rearrangements in reverse integral inequalities
%J Bollettino della Unione matematica italiana
%D 2005
%P 737-764
%V 8B
%N 3
%U http://geodesic.mathdoc.fr/item/BUMI_2005_8_8B_3_a13/
%G en
%F BUMI_2005_8_8B_3_a13