Lp-dual three mixed quermassintegrals

Autor: Zhao Chang-Jian, Bencze Mihály
Jazyk: angličtina
Rok vydání: 2021
Předmět:
Zdroj: Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, Vol 29, Iss 2, Pp 265-274 (2021)
Druh dokumentu: article
ISSN: 1844-0835
DOI: 10.2478/auom-2021-0030
Popis: In the paper, the concept of Lp-dual three-mixed quermassintegrals is introduced. The formula for the Lp-dual three-mixed quermassintegrals with respect to the p-radial addition is proved. Inequalities of Lp-Minkowski, and Brunn-Minkowski type for the Lp-dual three-mixed quermassintegrals are established. The new Lp-Minkowski inequality is obtained that generalize a family of Minkowski type inequalities. The Lp-Brunn-Minkowski inequality is used to obtain a series of Brunn-Minkowski type inequalities.
Databáze: Directory of Open Access Journals