Accelerated polynomial approximation of finite order entire functions by growth reduction

  title={Accelerated polynomial approximation of finite order entire functions by growth reduction},
  author={J{\"u}rgen M{\"u}ller},
  journal={Math. Comput.},
  • J. Müller
  • Published 1 April 1997
  • Mathematics
  • Math. Comput.
Let f be an entire function of positive order and finite type. The subject of this note is the convergence acceleration of polynomial approximants of f by incorporating information about the growth of f(z) for z → ∞. We consider near polynomial approximation on a compact plane set K, which should be thought of as a circle or a real interval. Our aim is to find sequences (f n ) n of functions which are the product of a polynomial of degree < n and an easy computable second factor and such that… 

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