On approximation of entire Harmonic functions in R n with index - pair (p ,q)
The authors have defined approximation error for harmonic functions in DR, 0 < R < 00 the cJass of ali harmonic functions H in R3, that are regular in the öpen hail DR of radius R centered at the origin and are continuous on the closure DR of DR . Necessary and sufficient conditions, in terıns of the rate of decay of the approximation error En (H, R), such that II G DR has analytic continuation as an entire harmonic functions haviııg (p, q) -order p and (p, q)- type T, have been obtained.
Keywords:
approximation, Harmonic functions,
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- Communications, Series A1:Mathematics and Statistics
- ISSN: 1303-5991
- Yayın Aralığı: Yılda 4 Sayı
- Başlangıç: 1948
- Yayıncı: Ankara Üniversitesi