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- Title
Some Inequalities for Generalized L<sub>p</sub>-mixed Affine Surface Areas.
- Authors
Tongyi Ma; Weidong Wang
- Abstract
The concept of mixed affine surface was defined by Lutwak in 1987. Recently, Wang and Leng introduced the concept of Lp-mixed affine surface areas. More recently, Lp- mixed affine surface areas have been further generalized by Ma to the entire class of so-called ith Lp-mixed affine surface areas (also called (i, 0)-type Lp-mixed affine surface areas). In this article, we continue studying the ith Lp-mixed affine surface areas. Combining with this new notion, a result of Lutwak and two results of Wang and Leng were extended. Furthermore, we establish a monotonic inequality related to the ith Lp-mixed affine surface areas. Finally, two open questions are raised.
- Subjects
OPEN-ended questions; SURFACE area; MONOTONIC functions; REAL variables; NOTIONAL functional syllabi
- Publication
IAENG International Journal of Applied Mathematics, 2015, Vol 45, Issue 4, p73
- ISSN
1992-9978
- Publication type
Article