The classical Hermite-Hadamard inequality, under some regularity assumptions, characterizes convexity of real functions. The aim of this paper is to establish connections between the stability forms of the functional inequalities related to Jensen convexity, convexity and the Hermite-Hadamard inequality.
|Number of pages||13|
|Journal||Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences|
|Publication status||Published - Feb 8 2009|
- Approximate convexity
- Hermite-hadamard inequality
ASJC Scopus subject areas
- Physics and Astronomy(all)