Geodesic
Some inequalities in functional analysis, combinatorics, and probability theory
The electronic journal of combinatorics, Tome 17 (2010)
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The main purpose of this paper is to show that many inequalities in functional analysis, probability theory and combinatorics are immediate corollaries of the best approximation theorem in inner product spaces. Besides, as applications of the de Caen-Selberg inequality, the finite field Kakeya and Nikodym problems are also studied.
DOI : 10.37236/330
Classification : 46C05, 05A20, 60C05, 11T99, 26D99
Mots-clés : inner product space, orthogonal projection, Kakeya set, Nikodym set 
@article{10_37236_330,
     author = {Chunrong Feng and Liangpan Li and Jian Shen},
     title = {Some inequalities in functional analysis, combinatorics, and probability theory},
     journal = {The electronic journal of combinatorics},
     year = {2010},
     volume = {17},
     doi = {10.37236/330},
     zbl = {1201.46024},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/330/}
}
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Chunrong Feng; Liangpan Li; Jian Shen. Some inequalities in functional analysis, combinatorics, and probability theory. The electronic journal of combinatorics, Tome 17 (2010). doi: 10.37236/330

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