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: Linear Mathematics In Infinite DimensionsLinear Mathematics In Infinite Dimensions
by - The Ohio State University
Contents: Infinite Dimensional Vector Spaces; Fourier Theory; Sturm-Liouville Theory; Green's Function Theory; Special Function Theory; Partial Differential Equations; System of Partial Differential Equations: How to Solve Maxwell's Equations ...
(2769 views)
Book cover: Applied AnalysisApplied Analysis
by - University of Toronto
In this course, we deal with modern analysis. Properties of functions are studied as much as they are needed for understanding maps. More specifically, our emphasis is on applications of modern analysis and the material is selected accordingly.
(1856 views)
Book cover: Semi-classical analysisSemi-classical analysis
by - Harvard University
In semi-classical analysis many of the basic results involve asymptotic expansions in which the terms can by computed by symbolic techniques and the focus of these lecture notes will be the 'symbol calculus' that this creates.
(6753 views)
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.
(11107 views)