An upper bound for the logarithmic capacity of two intervals
Complex Variables
2013-06-27 v1
Abstract
The logarithmic capacity (also called Chebyshev constant or transfinite diameter) of two real intervals has been given explicitly with the help of Jacobi's elliptic and theta functions already by Achieser in 1930. By proving several inequalities for these elliptic and theta functions, an upper bound for the logarithmic capacity in terms of elementary functions of and is derived.
Keywords
Cite
@article{arxiv.1306.6182,
title = {An upper bound for the logarithmic capacity of two intervals},
author = {Klaus Schiefermayr},
journal= {arXiv preprint arXiv:1306.6182},
year = {2013}
}