The trigonometric interpolants to a periodic function f in equispaced points converge if f is Dini-continuous, and the associated quadrature formula, the trapezoidal rule, converges if f is continuous ...

There was no lecture on Wednesday September 13. The first midterm was on Wednesday October 11. The second midterm is going to be held in class Wednesday November 15. Some lecture notes on ...

Begin by inputing a starting IFS and a final IFS ('Start Pattern' and 'End Pattern'). That is, the 6 numbers a,b,c, d,e,f that define each of the transformations w_i of the initial and final IFS. You ...

General aspects of polynomial interpolation theory. Formulations in different basis, e.g. Lagrange, Newton etc. and their approximation and computational properties ...

Lanczos has recently developed a method for accelerating the convergence of trigonometric approximations for smooth, nonperiodic functions by modifying their boundary behavior. The method is ...

ORTHOGONAL polynomials were first studied in connexion with a certain type of continued fractions, bearing the name of Stieltjes. They are closely related to problems of interpolation and mechanical ...