Logo

Bernoulli Polynomials and Applications

Small book cover: Bernoulli Polynomials and Applications

Bernoulli Polynomials and Applications
by

Publisher: arXiv
Number of pages: 48

Description:
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.

Home page url

Download or read it online for free here:
Download link
(490KB, PDF)

Similar books

Book cover: Advanced Calculus and AnalysisAdvanced Calculus and Analysis
by - University of Aberdeen
Introductory calculus course, with some leanings to analysis. It covers sequences, monotone convergence, limits, continuity, differentiability, infinite series, power series, differentiation of functions of several variables, and multiple integrals.
(25758 views)
Book cover: Multivector Differential CalculusMultivector Differential Calculus
by - arXiv
This paper treats the fundamentals of the multivector differential calculus part of geometric calculus. The multivector differential is introduced, followed by the multivector derivative and the adjoint of multivector functions.
(7829 views)
Book cover: Mathematical Methods for Economic Theory: a tutorialMathematical Methods for Economic Theory: a tutorial
by - University of Toronto
This tutorial covers the basic mathematical tools used in economic theory. The main topics are multivariate calculus, concavity and convexity, optimization theory, differential and difference equations. Knowledge of elementary calculus is assumed.
(14078 views)
Book cover: A Course in Mathematical AnalysisA Course in Mathematical Analysis
by - Ginn & company
Goursat's three-volume 'A Course in Mathematical Analysis' remains a classic study and a thorough treatment of the fundamentals of calculus. As an advanced text for students with one year of calculus, it offers an exceptionally lucid exposition.
(6772 views)