On some inequality of Hermite-Hadamard type
Functional Analysis
2012-07-16 v4 Classical Analysis and ODEs
Abstract
It is well-known that the left term of the classical Hermite-Hadamard inequality is closer to the integral mean value than the right one. We show that in the multivariate case it is not true. Moreover, we introduce some related inequality comparing the methods of the approximate integration, which is optimal. We also present its counterpart of Fejer type.
Keywords
Cite
@article{arxiv.1109.6657,
title = {On some inequality of Hermite-Hadamard type},
author = {Szymon Wasowicz and Alfred Witkowski},
journal= {arXiv preprint arXiv:1109.6657},
year = {2012}
}
Comments
Submitted to Opuscula Math