On Mixed Quermassintegral for Log-Concave Functions

On Mixed Quermassintegral for Log-Concave Functions

In this paper, the functional Quermassintegral of log-concave functions in ℝn is discussed. We obtain the integral expression of the ith functional mixed Quermassintegral, which is similar to the integral expression of the ith mixed Quermassintegral of convex bodies.

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Veröffentlicht in:Journal of function spaces 2020, Vol.2020 (2020), p.1-9
Hauptverfasser: Yang, Congli, Luo, Miao, Fang, Jianbo, Chen, Fangwei
Format: Artikel
Sprache:eng
Schlagworte:
Functionals
Inequality
Integrals
Mathematical functions
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Zusammenfassung:In this paper, the functional Quermassintegral of log-concave functions in ℝn is discussed. We obtain the integral expression of the ith functional mixed Quermassintegral, which is similar to the integral expression of the ith mixed Quermassintegral of convex bodies.
ISSN:2314-8896
2314-8888
DOI:10.1155/2020/8811566