Approximation of entire harmonic functions in R³ in L^ß - norm

• Autorzy: Kumar D. , Kasana H. S.
• Języki publikacji: EN

Abstrakty

EN

A function which is harmonic in a neighbourhood of the origin in R(3) has there an expansion in spherical harmonics. For HK, he class of all harmonic functions regular in and continuous on DR , the closure of DK, we define approximation error as , is the set of all harmonic polynomials of degree at most n. In this paper we have obtained the necessary and sufficient condition on the rate of decrease of has an analytic continuation as an entire harmonic function with (p, q) - growth.

Słowa kluczowe

EN

harmonic function; index-pair; proximate order; approximation error; Lß-norm

PL

funkcja harmoniczna; aproksymacja

• Wydawca: Wydawnictwo Politechniki Poznańskiej
• Czasopismo: Fasciculi Mathematici
• Rocznik: 2004
• Tom: Nr 34
• Strony: 55--64
• Opis fizyczny: Bibliogr. 11 poz.

Twórcy

autor

Kumar D.

• Department of Mathematics, Faculty of Science, P.O. Box 1176, Addis Ababa University, Addis Ababa, Ethiopia

autor

Kasana H. S.

• Department of Mathematics & Computer Applications, Thapar Institute of Engineering and Technology, Patiala-147 001, India

Bibliografia

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