English

The G-convex Functions Based on the Nonlinear Expectations Defined by G-BSDEs

Probability 2015-11-26 v1

Abstract

In this paper, generalizing the definition of G-convex functions defined by Peng [9] during the construction of G-expectations and related properties, we define a group of G-convex functions based on the Backward Stochastic Differential Equations driven by G- Brownian motions.

Keywords

Cite

@article{arxiv.1511.08015,
  title  = {The G-convex Functions Based on the Nonlinear Expectations Defined by G-BSDEs},
  author = {Kun He},
  journal= {arXiv preprint arXiv:1511.08015},
  year   = {2015}
}

Comments

11 pages. arXiv admin note: text overlap with arXiv:1306.1929 by other authors

R2 v1 2026-06-22T11:53:57.853Z