TY - CHAP
T1 - SOC means and SOC inequalities
AU - Chen, Jein Shan
N1 - Publisher Copyright:
© Springer Nature Singapore Pte Ltd. 2019.
PY - 2019
Y1 - 2019
N2 - In this chapter, we present some other types of applications of the aforementioned SOC-functions, SOC-convexity, and SOC-monotonicity. These include so-called SOC means, SOC weighted means, and a few SOC trace versions of Young, Hölder, Minkowski inequalities, and Powers–Størmer’s inequality. We believe that these results will be helpful in convergence analysis of optimizations involved with SOC. Many materials of this chapter are extracted from [36, 77, 78], the readers can look into them for more details.
AB - In this chapter, we present some other types of applications of the aforementioned SOC-functions, SOC-convexity, and SOC-monotonicity. These include so-called SOC means, SOC weighted means, and a few SOC trace versions of Young, Hölder, Minkowski inequalities, and Powers–Størmer’s inequality. We believe that these results will be helpful in convergence analysis of optimizations involved with SOC. Many materials of this chapter are extracted from [36, 77, 78], the readers can look into them for more details.
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U2 - 10.1007/978-981-13-4077-2_4
DO - 10.1007/978-981-13-4077-2_4
M3 - Chapter
AN - SCOPUS:85062660328
T3 - Springer Optimization and Its Applications
SP - 159
EP - 188
BT - Springer Optimization and Its Applications
PB - Springer International Publishing
ER -