On a pointwise inequality for even Legendre polynomials in high dimensional spheres
Classical Analysis and ODEs
2024-10-29 v1
Abstract
We present a pointwise inequality for adjacent even Legendre polynomials in high dimensional spheres featuring the effect of spectral gaps. This improves a recent result of Imbert, Silvestre and Villani that is crucially used in their study of the Fisher information for the Boltzmann equation.
Keywords
Cite
@article{arxiv.2410.20209,
title = {On a pointwise inequality for even Legendre polynomials in high dimensional spheres},
author = {Shirong Chen and Yi C. Huang and Jian-Yang Zhang},
journal= {arXiv preprint arXiv:2410.20209},
year = {2024}
}