On approximation of entire Harmonic functions in R n with index

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Communications Faculty of Sciences University Ankara Series A1 Mathematics and Statistics
Volume:41
On approximation of entire Harmonic functions in R n with index - pair (p ,q)

On approximation of entire Harmonic functions in R n with index - pair (p ,q)

Authors : D KUMAR

Pages : 0-0

Doi:10.1501/Commua1_0000000511

View : 15 | Download : 10

Publication Date : 1992-01-01

Article Type : Research Paper

Abstract :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 insert ignore into journalissuearticles values(H, R);, such that II G DR has analytic continuation as an entire harmonic functions haviııg insert ignore into journalissuearticles values(p, q); -order p and insert ignore into journalissuearticles values(p, q);- type T, have been obtained.
Keywords : approximation, Harmonic, functions

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