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On the supremum of a quotient of power sums

Stefan Gerhold et al · SpringerOpen · 2026

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Author / responsible party
Stefan Gerhold et al
Publisher
SpringerOpen
Year
2026
ISSN
1029-242X
ISSN
1029-242X
Language
English

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Abstract We define a function of two real vectors by a certain homogeneous quotient involving power sums, and show that its supremum grows asymptotically linearly w.r.t. the dimension. From this, we deduce a condition under which a parametric set of real matrices satisfies a set of polynomial positivity constraints. This characterization finds an application in mathematical finance, in a recent study on price impact models.

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APA 7

al, S. G. E. (2026). On the supremum of a quotient of power sums. https://doi.org/10.1186/s13660-026-03459-y

MLA

al, Stefan Gerhold et. "On the supremum of a quotient of power sums." 2026. https://doi.org/10.1186/s13660-026-03459-y.

Chicago

al, Stefan Gerhold et. 2026. "On the supremum of a quotient of power sums.". https://doi.org/10.1186/s13660-026-03459-y.

Harvard

al, S. G. E. 2026, On the supremum of a quotient of power sums, SpringerOpen, available at: https://doi.org/10.1186/s13660-026-03459-y [Accessed 7 Aug. 2026].

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Title
On the supremum of a quotient of power sums
Author / contributors
Stefan Gerhold et al
Publisher
SpringerOpen
Publication year
2026
ISSN
1029-242X
ISSN
1029-242X
Language
English

Subjects

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Power sum; Optimization; Inequalities; Asymptotics
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