We use one-dimensional differential inequalities to estimate the squareness and type of Banach spaces with modulus of convexity of power type two. The estimates obtained are sharp and the constants involved moderate.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-sm197-1-7,
author = {M. Ivanov and A. J. Pallares and S. Troyanski},
title = {On the geometry of Banach spaces with modulus of convexity of power type 2},
journal = {Studia Mathematica},
volume = {196},
year = {2010},
pages = {81-91},
zbl = {1200.46013},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm197-1-7}
}
M. Ivanov; A. J. Pallares; S. Troyanski. On the geometry of Banach spaces with modulus of convexity of power type 2. Studia Mathematica, Tome 196 (2010) pp. 81-91. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm197-1-7/