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On an inequality of A. Khintchine for zero-one matrices

Luxemburg, W. A. J. (1972) On an inequality of A. Khintchine for zero-one matrices. Journal of Combinatorial Theory. Series A, 12 (2). pp. 289-296. ISSN 0097-3165. doi:10.1016/0097-3165(72)90043-X.

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Let A be a matrix of m rows and n columns whose entries are either zero or one with row i of sum ri (i = 1, 2,…, m) and column j of sum sj (j = 1, 2,…, n). Then a result of Khintchine states that , where l = max(m, n) and σ is the total number of ones in A. In the present paper a new proof of Khintchine's inequality is presented and a number of extensions to bounded plane measurable sets are discussed.

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Additional Information:© 1972 Published by Elsevier Inc. This work was supported in part by NSF grant GP-14133.
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Issue or Number:2
Record Number:CaltechAUTHORS:20181009-140410509
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ID Code:90203
Deposited By: Joy Painter
Deposited On:10 Oct 2018 17:30
Last Modified:16 Nov 2021 03:30

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