On the converse Jensen inequality for strongly convex functions

Bakula Milica Klaricic; Nikodem Kazimierz

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On the converse Jensen inequality for strongly convex functions

机译：关于强凸函数的逆Jensen不等式

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Counterparts of the converse Jensen inequality for strongly convex and strongly midconvex functions are presented. The Jessen inequality and converse Jessen inequality (involving linear positive normalized functionals) for strongly convex functions are also given. (C) 2015 Elsevier Inc. All rights reserved.

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《Journal of Mathematical Analysis and Applications 》 |2016年第1期| 共7页
作者
Bakula Milica Klaricic; Nikodem Kazimierz;
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正文语种 eng
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关键词
Strongly convex functions; Jensen inequality; Converse Jensen inequality; Jessen inequality; Converse Jessen inequality;

机译：强凸函数;Jensen不等式;逆Jensen不等式;Jessen不等式;逆Jessen不等式;

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专利

1. On the converse Jensen inequality for strongly convex functions [J] . Bakula Milica Klaricic, Nikodem Kazimierz Journal of Mathematical Analysis and Applications . 2016 ,第1期

机译：关于强凸函数的逆Jensen不等式
2. Converse Jensen inequality for strongly convex set-valued maps [J] . Milica Klari?i? Bakula, Kazimierz Nikodem Journal of Mathematical Inequalities . 2018 ,第2期

机译：强凸集值映射的逆Jensen不等式
3. GENERALIZATIONS AND IMPROVEMENTS OF CONVERSE JENSEN'S INEQUALITY FOR CONVEX HULLS IN ?~k [J] . J. Pe?ari?, J. PERI?, Marko Mati? Mathematical inequalities & applications . 2014 ,第3期

机译：？〜k中逆Jensen凸包的不等式的推广与改进
4. Application of Convex Functions and Jensen Inequality [C] . Hua Zhong, Xuemei Yang, WuSheng Wang International Conference on Management, Education, Information and Control . 2015

机译：凸函数和Jensen不等式的应用
5. A General Framework of Large-Scale Convex Optimization Using Jensen Surrogates and Acceleration Techniques. [D] . Degirmenci, Soysal. 2016

机译：使用詹森代理和加速技术进行大规模凸优化的一般框架。
6. Jensen–Steffensen inequality for strongly convex functions [O] . M. Klaričić Bakula -1

机译：强凸函数的Jensen–Steffensen不等式
7. Converse Jensen inequality for strongly convex set-valued maps [O] . Milica Klaričić Bakula, Kazimierz Nikodem 2018

机译：对强大的凸的集价值地图相反的jensen不等式

On the converse Jensen inequality for strongly convex functions

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