ABSTRACT

Chebyshev polynomials crop up in virtually every area of numerical analysis, and they hold particular importance in recent advances in subjects such as orthogonal polynomials, polynomial approximation, numerical integration, and spectral methods. Yet no book dedicated to Chebyshev polynomials has been published since 1990, and even that work focuse

chapter 1|18 pages

Definitions

chapter 2|22 pages

Basic Properties and Formulae

chapter 3|30 pages

The Minimax Property and Its Applications

chapter 5|40 pages

Chebyshev Series

chapter 6|20 pages

Chebyshev Interpolation

chapter 7|12 pages

Near-Best L∞, L1 and Lp Approximations

chapter 8|26 pages

Integration Using Chebyshev Polynomials

chapter 9|28 pages

Solution of Integral Equations

chapter 10|30 pages

Solution of Ordinary Differential Equations

chapter 12|2 pages

Conclusion