A New Proof of an Inequality of Heinz
Canadian mathematical bulletin, Tome 7 (1964) no. 1, pp. 97-100
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In a recent paper, [l], Dixmier has proved Heinz' inequality by deducing it from a lemma due to Thorin. In this note it is proved directly from a convexity theorem.Let(M(k), M(k), μ(k)), k = 0, ..., n, be measure spaces and Lq(k) (M(k), M(k), μ(k)) be all the functions on M(k) such that
Bullen, P. S. A New Proof of an Inequality of Heinz. Canadian mathematical bulletin, Tome 7 (1964) no. 1, pp. 97-100. doi: 10.4153/CMB-1964-012-x
@article{10_4153_CMB_1964_012_x,
author = {Bullen, P. S.},
title = {A {New} {Proof} of an {Inequality} of {Heinz}},
journal = {Canadian mathematical bulletin},
pages = {97--100},
year = {1964},
volume = {7},
number = {1},
doi = {10.4153/CMB-1964-012-x},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1964-012-x/}
}
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