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- W2912228905 abstract "In this chapter, we introduce the SOC-convexity and SOC-monotonicity which are natural extensions of traditional convexity and monotonicity. These kinds of SOC-convex and SOC-monotone functions are also parallel to matrix-convex and matrix-monotone functions, see [21, 74]. We start with studying the SOC-convexity and SOC-monotonicity for some simple functions, e.g., (f(t)=t^2, t^3, 1/t, t^{1/2}, |t|), and ([t]_{+}). Then, we explore characterizations of SOC-convex and SOC-monotone functions." @default.
- W2912228905 created "2019-02-21" @default.
- W2912228905 creator A5061633817 @default.
- W2912228905 date "2019-01-01" @default.
- W2912228905 modified "2023-09-26" @default.
- W2912228905 title "SOC-Convexity and SOC-Monotonity" @default.
- W2912228905 doi "https://doi.org/10.1007/978-981-13-4077-2_2" @default.
- W2912228905 hasPublicationYear "2019" @default.
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