Abstract

We introduce compactly locally uniformly convex functions and present their properties, as well as their relations with other classes of convex functions.

Author information

Contact details are reproduced from the original publication and may be historical.

Palanikumar Shunmugaraj

Department of Mathematics and Statistics, Indian Institute of Technology, Kanpur, India

psraj@iitk.ac.in

Constantin Zalinescu

(1) Octav Mayer Institute of Mathematics, Iasi, Romania
(2) Faculty of Mathematics, University "Al. I. Cuza", Iasi, Romania

zalinesc@uaic.ro

Keywords

  • Locally uniformly convex function
  • compactly locally uniformly convex function
  • nearly strongly convex function
  • locally nearly uniformly convex function
  • locally nearly uniformly smooth function

Mathematics Subject Classification

26B25, 46G05, 49N15, 58C20; 46B20, 54C50

Suggested citation

P. Shunmugaraj, C. Zalinescu. “Compactly Locally Uniformly Convex Functions.” Journal of Convex Analysis 31 (2024), No. 4, 1245–1272.

Copyright Heldermann Verlag 2024