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: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2020-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2020/8811566 |
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| _version_ | 1832547177940910080 |
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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 |
| id | doaj-art-c6be37b8afb7410ab5c92e466a377a05 |
| 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 |