Approximation of entire transcendental functions of several complex variables in some Banach spaces for slow growth

• Autorzy: Kumar D.

Identyfikatory

DOI

10.1515/jaa-2017-0002

• Języki publikacji: EN

Abstrakty

EN

In the present paper, the coefficients characterizations of generalized type T_m(f; α, α) of entire transcendental functions f of several complex variables m (m ≥ 2) for slow growth have been obtained in terms of the sequence of best polynomial approximations of f in the Hardy Banach spaces H_q(U^m) and in the Banach spaces B_m(p, q, λ). The presented work is the extension and refinement of the corresponding assertions made by Vakarchuk and Zhir [20-25], Gol’dberg [4] and Sheremeta [17, 18] to the multidimensional case.

Słowa kluczowe

EN

entire transcendental functions; generalized order; generalized type; polynomial approximation error; Banach spaces; several complex variables

PL

całkowite funkcje transcendentne; błąd aproksymacji wielomianowej; przestrzenie Banacha; funkcje wielu zmiennych zespolonych

• Wydawca: De Gruyter
• Czasopismo: Journal of Applied Analysis
• Rocznik: 2017
• Tom: Vol. 23, nr 1
• Strony: 9--20
• Opis fizyczny: Bibliogr. 25 poz.

Twórcy

autor

Kumar D.

• Department of Mathematics, Faculty of Sciences Al-Baha University, P.O. Box-1988, Alaqiq, Al-Baha 65431, Saudi Arabia
• Department of Mathematics, Research and Post Graduate Studies, M.M.H. College, Model Town, Ghaziabad 201001, U.P., India

Bibliografia

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Uwagi

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę (zadania 2017).