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- W3193133352 abstract "Given a non-polar compact set K,we define the n-th Widom factor W n (K) as the ratio of the sup-norm of the n-th Chebyshev polynomial on K to the n-th degree of its logarithmic capacity. By G. Szegő, the sequence $(W_{n}(K))_{n=1}^{infty }$ has subexponential growth. Our aim is to consider compact sets with maximal growth of the Widom factors. We show that for each sequence $(M_{n})_{n=1}^{infty }$ of subexponential growth there is a Cantor-type set whose Widom’s factors exceed M n . We also present a set K with highly irregular behavior of the Widom factors." @default.
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- W3193133352 date "2014-10-29" @default.
- W3193133352 modified "2023-09-25" @default.
- W3193133352 title "Widom Factors" @default.
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- W3193133352 doi "https://doi.org/10.1007/s11118-014-9452-3" @default.
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