English

New extensions of Popoviciu's inequality

Classical Analysis and ODEs 2015-07-21 v1

Abstract

Popoviciu's inequality is extended to the framework of h-convexity and also to convexity with respect to a pair of quasi-arithmetic means. Several applications are included.

Keywords

Cite

@article{arxiv.1507.05304,
  title  = {New extensions of Popoviciu's inequality},
  author = {Marcela V. Mihai and Flavia-Corina Mitroi-Symeonidis},
  journal= {arXiv preprint arXiv:1507.05304},
  year   = {2015}
}