Minimal approximate Hessians for continuously Gâteaux differentiable functions
نویسندگان
چکیده
منابع مشابه
Minimal Approximate Hessians for Continuously Gâteaux Differentiable Functions
In this paper, we investigate minimal (weak) approximate Hessians, and completely answer the open questions raised by V. Jeyakumar and X. Q. Yang. As applications, we first give a generalised Taylor’s expansion in terms of a minimal weak approximate Hessian. Then we characterise the convexity of a continuously Gâteaux differentiable function. Finally some necessary and sufficient optimality con...
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ژورنال
عنوان ژورنال: The ANZIAM Journal
سال: 2004
ISSN: 1446-1811,1446-8735
DOI: 10.1017/s1446181100013419