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: 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: 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.
Book cover: Elementary Mathematical AnalysisElementary Mathematical Analysis
by - The Macmillan Company
The book presents a course suitable for students in the first year of our colleges, universities, and technical schools. It presupposes on the part of the student only the usual minimum entrance requirements in elementary algebra and plane geometry.
Book cover: Set Theory and Topology: An Introduction to the Foundations of AnalysisSet Theory and Topology: An Introduction to the Foundations of Analysis
by - arXiv
We provide a formal introduction into the classic theorems of general topology and its axiomatic foundations in set theory. The exposition in this first part includes relation and order theory as well as a construction of number systems.