Geodesic
Some Quantitative Interpolation Theorems under Lions-Peetre's Methods
Journal of convex analysis, Tome 16 (2009) no. 2, pp. 487-499.

Voir la notice de l'article provenant de la source Heldermann Verlag

We formulate the quantitative version of interpolation theorems on compactness and weak compactness, the improved estimate for the k-uniform rotundity, and even the stability of the nearly uniform convexity under Lions-Peetre's interpolation methods of constants and means associated with quasi-power function parameters.
Classification : 46B70, 46M35, 46B50, 47B07
Mots-clés : Interpolation, k-uniform rotundity, Lions-Peetre's method, nearly uniform convexity, noncompactness, weak noncompactness 
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     author = {M. Fan},
     title = {Some {Quantitative} {Interpolation} {Theorems} under {Lions-Peetre's} {Methods}},
     journal = {Journal of convex analysis},
     pages = {487--499},
     publisher = {mathdoc},
     volume = {16},
     number = {2},
     year = {2009},
     url = {http://geodesic.mathdoc.fr/item/JCA_2009_16_2_JCA_2009_16_2_a9/}
}
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M. Fan. Some Quantitative Interpolation Theorems under Lions-Peetre's Methods. Journal of convex analysis, Tome 16 (2009) no. 2, pp. 487-499. http://geodesic.mathdoc.fr/item/JCA_2009_16_2_JCA_2009_16_2_a9/