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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Main Authors: Fangwei Chen, Jianbo Fang, Miao Luo, Congli Yang
Format: Article
Language:English
Published: Wiley 2020-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2020/8811566
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author Fangwei Chen
Jianbo Fang
Miao Luo
Congli Yang
author_facet Fangwei Chen
Jianbo Fang
Miao Luo
Congli Yang
author_sort Fangwei Chen
collection DOAJ
description 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.
format Article
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institution Kabale University
issn 2314-8896
2314-8888
language English
publishDate 2020-01-01
publisher Wiley
record_format Article
series Journal of Function Spaces
spelling doaj-art-c6be37b8afb7410ab5c92e466a377a052025-02-03T06:45:53ZengWileyJournal of Function Spaces2314-88962314-88882020-01-01202010.1155/2020/88115668811566On Mixed Quermassintegral for Log-Concave FunctionsFangwei Chen0Jianbo Fang1Miao Luo2Congli Yang3School of Mathematics and Statistics, Guizhou University of Finance and Economics, Guiyang, Guizhou 550025, ChinaSchool of Mathematics and Statistics, Guizhou University of Finance and Economics, Guiyang, Guizhou 550025, ChinaSchool of Mathematical Sciences, Guizhou Normal University, Guiyang, Guizhou 550025, ChinaSchool of Mathematical Sciences, Guizhou Normal University, Guiyang, Guizhou 550025, ChinaIn 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.http://dx.doi.org/10.1155/2020/8811566
spellingShingle Fangwei Chen
Jianbo Fang
Miao Luo
Congli Yang
On Mixed Quermassintegral for Log-Concave Functions
Journal of Function Spaces
title On Mixed Quermassintegral for Log-Concave Functions
title_full On Mixed Quermassintegral for Log-Concave Functions
title_fullStr On Mixed Quermassintegral for Log-Concave Functions
title_full_unstemmed On Mixed Quermassintegral for Log-Concave Functions
title_short On Mixed Quermassintegral for Log-Concave Functions
title_sort on mixed quermassintegral for log concave functions
url http://dx.doi.org/10.1155/2020/8811566
work_keys_str_mv AT fangweichen onmixedquermassintegralforlogconcavefunctions
AT jianbofang onmixedquermassintegralforlogconcavefunctions
AT miaoluo onmixedquermassintegralforlogconcavefunctions
AT congliyang onmixedquermassintegralforlogconcavefunctions