Functional Geominimal Surface Area and Its Related Affine Isoperimetric Inequality
The first variation of the total mass of log-concave functions was studied by Colesanti and Fragalà, which includes the Lp mixed volume of convex bodies. Using Colesanti and Fragalà’s first variation formula, we define the geominimal surface area for log-concave functions, and its related affine iso...
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2020/3039598 |
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| _version_ | 1832566411638079488 |
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| author | Niufa Fang Jin Yang |
| author_facet | Niufa Fang Jin Yang |
| author_sort | Niufa Fang |
| collection | DOAJ |
| description | The first variation of the total mass of log-concave functions was studied by Colesanti and Fragalà, which includes the Lp mixed volume of convex bodies. Using Colesanti and Fragalà’s first variation formula, we define the geominimal surface area for log-concave functions, and its related affine isoperimetric inequality is also established. |
| format | Article |
| id | doaj-art-729970fd57354bceb14199d4dacba43f |
| 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-729970fd57354bceb14199d4dacba43f2025-02-03T01:04:08ZengWileyJournal of Function Spaces2314-88962314-88882020-01-01202010.1155/2020/30395983039598Functional Geominimal Surface Area and Its Related Affine Isoperimetric InequalityNiufa Fang0Jin Yang1Chern Institute of Mathematics, Nankai University, Tianjin 300071, ChinaDepartment of Mathematics, Hubei Minzu University, Enshi, Hubei 445000, ChinaThe first variation of the total mass of log-concave functions was studied by Colesanti and Fragalà, which includes the Lp mixed volume of convex bodies. Using Colesanti and Fragalà’s first variation formula, we define the geominimal surface area for log-concave functions, and its related affine isoperimetric inequality is also established.http://dx.doi.org/10.1155/2020/3039598 |
| spellingShingle | Niufa Fang Jin Yang Functional Geominimal Surface Area and Its Related Affine Isoperimetric Inequality Journal of Function Spaces |
| title | Functional Geominimal Surface Area and Its Related Affine Isoperimetric Inequality |
| title_full | Functional Geominimal Surface Area and Its Related Affine Isoperimetric Inequality |
| title_fullStr | Functional Geominimal Surface Area and Its Related Affine Isoperimetric Inequality |
| title_full_unstemmed | Functional Geominimal Surface Area and Its Related Affine Isoperimetric Inequality |
| title_short | Functional Geominimal Surface Area and Its Related Affine Isoperimetric Inequality |
| title_sort | functional geominimal surface area and its related affine isoperimetric inequality |
| url | http://dx.doi.org/10.1155/2020/3039598 |
| work_keys_str_mv | AT niufafang functionalgeominimalsurfaceareaanditsrelatedaffineisoperimetricinequality AT jinyang functionalgeominimalsurfaceareaanditsrelatedaffineisoperimetricinequality |