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: Lectures on Disintegration of MeasuresLectures on Disintegration of Measures
by - Tata Institute of Fundamental Research
These Notes cover I) disintegration of a measure with respect to a single sigma-algebra, and in part II, measure valued supermartingales and regular disintegration of a measure with respect to an increasing right continuous family of sigma-algebras.
(4988 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.
(3639 views)
Book cover: Special Functions and Their Symmetries: Postgraduate Course in Applied AnalysisSpecial Functions and Their Symmetries: Postgraduate Course in Applied Analysis
by - University of Leeds
This text presents fundamentals of special functions theory and its applications in partial differential equations of mathematical physics. The course covers topics in harmonic, classical and functional analysis, and combinatorics.
(9924 views)
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.
(8126 views)