Growth and Lδ-approximation of solutions of the Helmholtz equation in a finite disk

• Autorzy: Kumar D , Basu A.

Identyfikatory

DOI

10.1515/jaa-2014-0013

• Języki publikacji: EN

Abstrakty

EN

In this paper we study the growth and L^δ-approximation, 1 ≤ δ ≤ ∞, of solutions (not necessarily entire) of Helmholtz-type equations. Moreover, we obtain the characterization of order and type of H ∈ H_R, 0 < R < ∞, in terms of decay of approximation errors E_n(H,R₀) and Eⁱ_n,δ(H,R₀), i = 1,2. Our results extend and improve the results obtained by McCoy [J. Approx. Theory 25 (1979), 153–168].

Słowa kluczowe

EN

Helmholtz equation; approximation error; order; type; growth

PL

równanie Helmholtza; błąd aproksymacji

• Wydawca: De Gruyter
• Czasopismo: Journal of Applied Analysis
• Rocznik: 2014
• Tom: Vol. 20, nr 2
• Strony: 119--128
• Opis fizyczny: Bibliogr. 17 poz.

Twórcy

autor

Kumar D

• Department of Mathematics, Faculty of Sciences, Al-Baha University, P.O. Box 1988, Alaqiq, Al-Baha-65431, Saudi Arabia, K.S.A.

autor

Basu A.

• Department of Mathematics, Dr. Bhupendra Nath Dutta Smriti Mahavidyalaya, P.O. Hatgobindapur, Burdwan, West Bengal, India

Bibliografia

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