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Journal of Shanghai University >

2012 , Vol. 18 >Issue 4: 376 - 378

DOI: https://doi.org/10.3969/j.issn.1007-2861.2012.04.009

Mathematics.Physics and Chemistry

Extremal Problems for Sylvester Type Functionals

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  • (College of Sciences, Shanghai University, Shanghai 200444, China)

Online published: 2012-08-30

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Abstract

This paper defines a new Sylvester type functional A(K). Using the method of shadow systems, the extremal problems of A(K) are studied. When K is a ellipsoid, A(K) attains its minimum value. In a plane, A(K) attains its maximum value when Kis a triangle. When K is symmetric, the corresponding example is parallelogram. 

Key words： Orlicz centroid body; shadow system; Sylvester type functional

Cite this article

WANG Guang-ting . Extremal Problems for Sylvester Type Functionals[J]. Journal of Shanghai University, 2012 , 18(4) : 376 -378 . DOI: 10.3969/j.issn.1007-2861.2012.04.009

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