Lecture Notes, Bernoulli Polynomials and Applications
Classical Analysis and ODEs
2016-02-10 v2
Abstract
In this lecture notes we try to familiarize the audience with the theory of Bernoulli polynomials; we study their properties, and we give, with proofs and references, some of the most relevant results related to them. Several applications to these polynomials are presented, including a unified approach to the asymptotic expansion of the error term in many numerical quadrature formulae, and many new and sharp inequalities, that bound some trigonometric sums.
Cite
@article{arxiv.1309.7560,
title = {Lecture Notes, Bernoulli Polynomials and Applications},
author = {Omran Kouba},
journal= {arXiv preprint arXiv:1309.7560},
year = {2016}
}
Comments
48 pages, 3 figures