Abstract

We extend the standard two-points gradient inequality for a differentiable convex function to a four-points version satisfying Sherman's majorization condition.

Author information

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

Marek Niezgoda

Department of Applied Mathematics and Computer Science, University of Life Sciences, 20-950 Lublin, Poland

marek.niezgoda@up.lublin.pl

Keywords

  • Convex function
  • gradient inequality
  • majorization
  • doubly stochastic matrix
  • Sherman's inequality

Mathematics Subject Classification

26B25, 26D10, 52A41

Suggested citation

M. Niezgoda. “A Majorization Gradient Inequality for Symmetric Convex Functions.” Journal of Convex Analysis 28 (2021), No. 1, 1–10.

Copyright Heldermann Verlag 2021