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A lower bound for the logarithmic energy on S2 and for the green energy on Sn

Abstract: We show an alternative proof of the sharpest known lower bound for the logarithmic energy on the unit sphere S2. We then generalize this proof to get new lower bounds for the Green energy on the unit n-sphere Sn.

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Authorship: Beltrán C., Lizarte F.,

Fuente: Constructive Approximation, 2023, 58(3), 565-587

Publisher: Springer-Verl. New York.

Publication date: 01/12/2023

No. of pages: 23

Publication type: Article

DOI: 10.1007/s00365-023-09642-4

ISSN: 0176-4276,1432-0940

Spanish project: PID2020-113887GB-I00

Publication Url: https://doi.org/10.1007/s00365-023-09642-4

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CARLOS BELTRAN ALVAREZ

FATIMA LIZARTE LOPEZ

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A lower bound for the logarithmic energy on S2 and for the green energy on Sn

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