Measures of growth and approximation of entire harmonic functions in n-dimensional space in some Banach spaces

• Autorzy: Kumar Devendra

Identyfikatory

DOI

10.7862/rf.2021.4

• Języki publikacji: EN

Abstrakty

EN

The relationship between the classical order and type of an entire harmonic function in space Rn, n≥3, and the rate of its best harmonic polynomial approximation for some Banach spaces of functions harmonic in the ball of radius R has been studied.

Słowa kluczowe

EN

entire harmonic function; approximation errors; Banach spaces; order and type; Gegenbauer polynomial; spherical harmonics

PL

funkcja harmoniczna; błąd aproksymacji; przestrzenie Banacha; wielomian Gegenbauera; harmoniki sferyczne

• Wydawca: Oficyna Wydawnicza Politechniki Rzeszowskiej
• Czasopismo: Journal of Mathematics and Applications
• Rocznik: 2021
• Tom: Vol. 44
• Strony: 57--70
• Opis fizyczny: Bibliogr. 27 poz.

Twórcy

autor

Kumar Devendra

• Department of Mathematics, Faculty of Sciences, Al-Baha University, P.O.Box-7738, Alaqiq, Al-Baha-65799, Saudi Arabia

• https://orcid.org/0000-0002-1653-9882

Bibliografia

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• [3] A.J. Fryant, Growth of entire harmonic functions in R3, J. Math. Anal. Appl. 66 (1978) 599-
• [4] T.B. Fugard, Growth of entire harmonic functions in Rn, n ≥ 2, J. Math. Anal. Appl. 74 (1) (1980) 289-291.
• [5] M.I. Gvaradze, On one class of spaces of analytic functions, Mat. Zametki 21 (2) (1977) 141-150.
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• [9] I.I. Ibragimov, N.I. Shikhaliev, On the best approximation in the mean for analytic functions in the space Ap(|z| < 1), Spets. Vopr. Teor. Funkts. 1 (1977) 84–96.
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Uwagi

PL

Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2021).