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• W2969531531 abstract "Let $f$ be a polynomial function of $n$ variables. In this paper, we study stability of global Holderian error bound for a nonempty sublevel set $[f le t]$ under a perturbation of $t$. In this paper, we give: * Criteria for the existence of a global Holderian error bound of $[f le t]$; * Formulas for computing explicitly the set $$H(f) := { t in mathbb{R}: [f le t] text{has a global Holderian error bound}}$$ via some Fedoryuk values of $f$ and definition of threshold for the existence of global Holderian error bound of $f$; * Definition of all types of stability of global Holderian error bound of $[f le t]$." @default.
• W2969531531 created "2019-08-29" @default.
• W2969531531 creator A5013402933 @default.
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• W2969531531 date "2019-02-15" @default.
• W2969531531 modified "2023-09-27" @default.
• W2969531531 title "Fedoryuk values and stability of global H{o}lderian error bounds for polynomial functions." @default.
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