Accelerated polynomial approximation of finite order entire functions by growth reduction
نویسندگان
چکیده
منابع مشابه
Accelerated polynomial approximation of finite order entire functions by growth reduction
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 (fn)n of functions whi...
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and Applied Analysis 3 which vanishes on K except perhaps for a pluripolar subset and satisfies the complex Monge-Ampère equation (see [12]): (dd c V K ) n = 0 on Cn \ K. (16) If n = 1, the Monge-Ampère equation reduces to the classical Laplace equation. For this reason, the functionV K is considered as a natural counterpart of the classical Green function with logarithmic pole at infinity and ...
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ژورنال
عنوان ژورنال: Mathematics of Computation
سال: 1997
ISSN: 0025-5718
DOI: 10.1090/s0025-5718-97-00832-6