A Cauchy-Khinchin matrix inequality |
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| Authors: | Edwin R van Dam |
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| Institution: | Department of Mathematics and Statistics, Queen's University, Kingston, Ontario, Canada K7L 3N6 |
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| Abstract: | We derive a matrix inequality, which generalizes the Cauchy-Schwarz inequality for vectors, and Khinchin's inequality for zero–one matrices. Furthermore, we pose a related problem on the maximum irregularity of a directed graph with prescribed number of vertices and arcs, and make some remarks on this problem. |
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| Keywords: | Matrix inequalities Cauchy-Schwarz Digraphs |
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