Inequalities of Levin-Ste\v{c}kin, Clausing and Chebyshev revisited
Classical Analysis and ODEs
2016-12-19 v1
Abstract
We prove the Levin-Ste\v{c}kin inequality using Chebyshev's inequality and symmetrization. Symmetry and slightly modified Chebyshev's inequality are also the key to an elementary proof of Clausing's inequality .
Cite
@article{arxiv.1612.05373,
title = {Inequalities of Levin-Ste\v{c}kin, Clausing and Chebyshev revisited},
author = {Alfred Witkowski},
journal= {arXiv preprint arXiv:1612.05373},
year = {2016}
}