The generalized L p -mixed affine surface area
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| 003 | CHVBK | ||
| 005 | 20210128100247.0 | ||
| 007 | cr unu---uuuuu | ||
| 008 | 210128e20151101xx s 000 0 eng | ||
| 024 | 7 | 0 | |a 10.1007/s10114-015-3140-0 |2 doi |
| 035 | |a (NATIONALLICENCE)springer-10.1007/s10114-015-3140-0 | ||
| 100 | 1 | |a Ma |D Tong |u College of Mathematics and Statistics, Hexi University, 734000, Zhangye, P. R. China |4 aut | |
| 245 | 1 | 4 | |a The generalized L p -mixed affine surface area |h [Elektronische Daten] |c [Tong Ma] |
| 520 | 3 | |a In this article, we put forward the concept of the (i, j)-type L p -mixed affine surface area, such that the notion of L p -affine surface area which be shown by Lutwak is its special cases. Furthermore, applying this concept, the Minkowski inequality for the (i,−p)-type L p -mixed affine surface area and the extensions of the well-known L p -Petty affine projection inequality are established, respectively. Besides, we give an affirmative answer for the generalized L p -Winterniz monotonicity problem. | |
| 540 | |a Institute of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Chinese Mathematical Society and Springer-Verlag Berlin Heidelberg, 2015 | ||
| 690 | 7 | |a Convex body |2 nationallicence | |
| 690 | 7 | |a star body |2 nationallicence | |
| 690 | 7 | |a i -th L p -mixed curvature function |2 nationallicence | |
| 690 | 7 | |a i -th L p -mixed curvature image |2 nationallicence | |
| 690 | 7 | |a ( i , j )-type L p -mixed affine surface area |2 nationallicence | |
| 773 | 0 | |t Acta Mathematica Sinica, English Series |d Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society |g 31/11(2015-11-01), 1775-1788 |x 1439-8516 |q 31:11<1775 |1 2015 |2 31 |o 10114 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s10114-015-3140-0 |q text/html |z Onlinezugriff via DOI |
| 898 | |a BK010053 |b XK010053 |c XK010000 | ||
| 900 | 7 | |a Metadata rights reserved |b Springer special CC-BY-NC licence |2 nationallicence | |
| 908 | |D 1 |a research-article |2 jats | ||
| 949 | |B NATIONALLICENCE |F NATIONALLICENCE |b NL-springer | ||
| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.1007/s10114-015-3140-0 |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 100 |E 1- |a Ma |D Tong |u College of Mathematics and Statistics, Hexi University, 734000, Zhangye, P. R. China |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Acta Mathematica Sinica, English Series |d Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society |g 31/11(2015-11-01), 1775-1788 |x 1439-8516 |q 31:11<1775 |1 2015 |2 31 |o 10114 | ||