Bernoulli Polynomials and Applications

Small book cover: Bernoulli Polynomials and Applications

Bernoulli Polynomials and Applications

Publisher: arXiv
Number of pages: 48

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: Jacobi Operators and Complete Integrable Nonlinear LatticesJacobi Operators and Complete Integrable Nonlinear Lattices
by - American Mathematical Society
Introduction and a reference to spectral and inverse spectral theory of Jacobi operators and applications of these theories to the Toda and Kac-van Moerbeke hierarchy. It covers second order difference equations, self-adjoint operators, etc.
Book cover: Calculus and Differential EquationsCalculus and Differential Equations
by - Learning Development Institute
The book places emphasis on Mathematics as a human activity and on the people who made it. From the table of contents: Historical background; Differential calculus; Integral calculus; Differential equations; Solutions to the problems.
Book cover: Introduction to Methods of Applied MathematicsIntroduction to Methods of Applied Mathematics
by - Caltech
Advanced mathematical methods for scientists and engineers, it contains material on calculus, functions of a complex variable, ordinary differential equations, partial differential equations and the calculus of variations.
Book cover: Introduction to AnalysisIntroduction to Analysis
by - Reed College
Students learn to write proofs while at the same time learning about binary operations, orders, fields, ordered fields, complete fields, complex numbers, sequences, and series. We also review limits, continuity, differentiation, and integration.