Determinants and the volumes of parallelotopes and zonotopes
β Scribed by Eugene Gover; Nishan Krikorian
- Publisher
- Elsevier Science
- Year
- 2010
- Tongue
- English
- Weight
- 222 KB
- Volume
- 433
- Category
- Article
- ISSN
- 0024-3795
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π SIMILAR VOLUMES
We study geometric parameters associated with the Banach spaces (R n , β’ k,q ) normed by x k,q = ( 1 i k | x, a i | \* q ) 1/q , where {a i } i N is a given sequence of N points in R n , 1 k N, 1 q β, and {Ξ» \* i } i 1 denotes the decreasing rearrangement of a sequence {Ξ» i } i 1 β R.
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By relating the problem to the study of the number of zeros of certain wronskian determinants, estimates are found for the number of zeros on the real line of functions of a certain class. This class is instanced by functions of the shape m Z Pt(@ exp Qd-4 k=l where the Pa, QI~ are polynomials and t