The slope robustly determines convex functions-Reference-Cited by-同舟云学术

登录注册会员服务联系我们

The slope robustly determines convex functions

Published:2023-07-14 Issue:11 Volume:151 Page:4751-4756
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Daniilidis Aris,Drusvyatskiy Dmitriy

Abstract

We show that the deviation between the slopes of two convex functions controls the deviation between the functions themselves. This result reveals that the slope—a one dimensional construct—robustly determines convex functions, up to a constant of integration.

Funder

Austrian Science Fund

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

https://www.ams.org/proc/2023-151-11/S0002-9939-2023-16503-X/proc16503_AM.pdf

Reference12 articles.

1. MOS-SIAM Series on Optimization;Attouch, Hedy,2014

2. Gradient flows, second-order gradient systems and convexity;Boulmezaoud, Tahar Z.;SIAM J. Optim.,2018

3. North-Holland Mathematics Studies, No. 5;Brézis, H.,1973

4. Asymmetric free spaces and canonical asymmetrizations;Daniilidis, Aris;Studia Math.,2021

5. A determination theorem in terms of the metric slope;Daniilidis, Aris;Proc. Amer. Math. Soc.,2022

Cited by 1 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. A slope generalization of Attouch theorem;Mathematical Programming;2024-06-20

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线，采集、加工和组织学术论文而形成的新型学术文献查询和分析系统，可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容，当前同舟云学术共收录了国内外主流学术期刊6万余种，收集的期刊论文及会议论文总量共计约1.5亿篇，并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询！咨询电话：010-8811{复制后删除}0370

www.globalauthorid.com

TOP