The Lp-mixed quermassintegrals for 0 < p < 1-Reference-Cited by-同舟云学术

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The Lp-mixed quermassintegrals for 0 < p < 1

Published:2021-12-01 Issue:2 Volume:13 Page:519-528
ISSN:2066-7752
Container-title:Acta Universitatis Sapientiae, Mathematica
language:en
Short-container-title:

Author:

Zhao Chang-Jian¹,Bencze Mihály²

Affiliation:

1. Department of Mathematics , China Jiliang University , Hangzhou 310018, P. R. China

2. Hărmanului street 6, 505600, Săcele-Négyfalu , Braşov , Romania

Abstract

Abstract In the paper, Lp-harmonic addition, p-harmonic Blaschke addition and Lp-dual mixed volume are improved. A new p-harmonic Blaschke mixed quermassintegral is introduced. The relationship between p-harmonic Blaschke mixed volume and Lp-dual mixed volume is shown.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.sciendo.com/pdf/10.2478/ausm-2021-0033

Reference16 articles.

1. [1] R. Schneider, Convex Bodies: The Brunn-Minkowski Theory, Cambridge Univ. Press, 1993.10.1017/CBO9780511526282

2. [2] R. J. Gardner, Geometric Tomography, Cambridge Univ. Press, New York, 1996.

3. [3] E. Lutwak, Intersection bodies and dual mixed volumes, Adv. Math., 71 (1988), 232–261.10.1016/0001-8708(88)90077-1

4. [4] E. Lutwak, Dual mixed volumes, Pacific J. Math., 58 (1975), 531–538.10.2140/pjm.1975.58.531

5. [5] Y. D. Burago, V. A. Zalgaller, Geometric Inequalities, Springer-Verlag, Berlin-New york, 1988.10.1007/978-3-662-07441-1

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