Characterisations of quasiconvex functions
نویسندگان
چکیده
منابع مشابه
Quasiconvex functions and Hessian equations
In this note we construct new examples of quasiconvex functions defined on the set Sn×n of symmetric matrices. They are built on the k-th elementary symmetric function of the eigenvalues, k = 1, 2, ..., n. The idea is motivated by Šverák’s paper [S]. The proof of our result relies on the theory of the so-called k-Hessian equations, which have been intensively studied recently, see [CNS], [T], [...
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متن کاملHadamard-type Inequalities for Quasiconvex Functions
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ژورنال
عنوان ژورنال: Bulletin of the Australian Mathematical Society
سال: 1993
ISSN: 0004-9727,1755-1633
DOI: 10.1017/s0004972700015859