Affine and Functional Form of Jensen's Inequalitiy for $3$-convex Functions at a Point

Imran Abbas Baloch; Silvestru Sever Dragomir

Affine and Functional Form of Jensen's Inequalitiy for $3$-convex Functions at a Point

Classical Analysis and ODEs 2016-01-25 v1

Authors: Imran Abbas Baloch , Silvestru Sever Dragomir

Abstract

In this paper, we give the refinement of an extension of Jensen's inequality to affine combinations. Furthermore, we present the functional form of Jensen's inequality for continuous 3-convex functions of one variable at a point.

Keywords

Jensen's inequality affine combinations 3-convex functions functional form refinement convex analysis

Cite

@article{arxiv.1601.06123,
  title  = {Affine and Functional Form of Jensen's Inequalitiy for $3$-convex Functions at a Point},
  author = {Imran Abbas Baloch and Silvestru Sever Dragomir},
  journal= {arXiv preprint arXiv:1601.06123},
  year   = {2016}
}