Classes of completely monotone and Bernstein functions defined by convexity properties of their spectral measures

Autor: Wissem Jedidi, Hristo S. Sendov, Shen Shan
Jazyk: angličtina
Rok vydání: 2024
Předmět:
Zdroj: AIMS Mathematics, Vol 9, Iss 5, Pp 11372-11395 (2024)
Druh dokumentu: article
ISSN: 2473-6988
DOI: 10.3934/math.2024558?viewType=HTML
Popis: We were interested in Bernstein and Lévy measures having certain convexity-type properties. The convexity-type properties were an extension of the harmonic convexity property considered in [9]. We characterized the corresponding completely monotone and Bernstein functions. We hope this paper can aid with understanding the analogous properties and open questions presented in [8,9].
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