Orlicz Mean Dual Affine Quermassintegrals
Joint Authors
Zhao, Chang-Jian
Cheung, Wing-Sum
Source
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-02-01
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
Our main aim is to generalize the mean dual affine quermassintegrals to the Orlicz space.
Under the framework of dual Orlicz-Brunn-Minkowski theory, we introduce a new affine geometric quantity by calculating the first Orlicz variation of the mean dual affine quermassintegrals and call it the Orlicz mean dual affine quermassintegral.
The fundamental notions and conclusions of the mean dual affine quermassintegrals and the Minkowski and Brunn-Minkowski inequalities for them are extended to an Orlicz setting.
The related concepts and inequalities of dual Orlicz mixed volumes are also included in our conclusions.
The new Orlicz isoperimetric inequalities in special case yield the Lp-dual Minkowski inequality and Brunn-Minkowski inequality for the mean dual affine quermassintegrals, which also imply the dual Orlicz-Minkowski inequality and dual Orlicz-Brunn-Minkowski inequality.
American Psychological Association (APA)
Zhao, Chang-Jian& Cheung, Wing-Sum. 2018. Orlicz Mean Dual Affine Quermassintegrals. Journal of Function Spaces،Vol. 2018, no. 2018, pp.1-13.
https://search.emarefa.net/detail/BIM-1186592
Modern Language Association (MLA)
Zhao, Chang-Jian& Cheung, Wing-Sum. Orlicz Mean Dual Affine Quermassintegrals. Journal of Function Spaces No. 2018 (2018), pp.1-13.
https://search.emarefa.net/detail/BIM-1186592
American Medical Association (AMA)
Zhao, Chang-Jian& Cheung, Wing-Sum. Orlicz Mean Dual Affine Quermassintegrals. Journal of Function Spaces. 2018. Vol. 2018, no. 2018, pp.1-13.
https://search.emarefa.net/detail/BIM-1186592
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1186592