Orthogonal Polynomials.
- 1st ed.
- 1 online resource (196 pages)
- Memoirs of the American Mathematical Society ; v.18 .
- Memoirs of the American Mathematical Society .
Intro -- Table of Contents -- 1. Introduction -- 2. Notations -- 3. Basic Facts -- 3.1. The Generalized Recurrence Formula -- 3.2. Modified Quadrature Processes -- 3.3. The Support of dα -- 4. Limit Relations -- 4.1 Pointwise Limits -- 4.2. Weak Limits -- 5. Eigenvalues of Toeplitz Matrices -- 6. Christoffel Functions -- 6.1. An Interpolation Process -- 6.2 A Sequence of Positive Operators -- 6.3. Generalized Christoffel Functions -- 7. The Coefficients in the Recurrence Formula -- 8. Fourier Series -- 9. Inequalities -- 10. Lagrange Interpolation -- References.