arXiv:1108.3802 Abstract | arXiv Analytics

arXiv:1108.3802 [math.FA]Abstract References Reviews Resources

Upper and Lower Bounds for Kronecker Constants of Three-Element Sets of Integers

Published 2011-08-18, updated 2011-08-19Version 2

Various upper and lower bounds are provided for the (angular) Kronecker constants of sets of integers. Some examples are provided where the bounds are attained. It is proved that 5=16 bounds the angular Kronecker constants of 3-element sets of positive integers. However, numerous examples suggest that the minimum upper bound is 1=4 for 3-element sets of positive integers.

Categories: math.FA

Subjects: 42A15, 43A46, 65T40

Keywords: lower bounds, three-element sets, angular kronecker constants, positive integers, minimum upper bound

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