Constructive Characterization of Analogue of Lipschitz Class in Integral Metric

Jamal I. Mamedkhanov and Irada B. Dadashova
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Jamal I. Mamedkhanov: Department of Mechanics-Mathematics, Baku State University, Z.Khalilov st.23, AZ-1148, Baku, Azerbaijan; Institute of Mathematics and Mechanics National Academy of Sciences of Azerbaijan, B. Vahabzade st., 9, AZ 1141.
Irada B. Dadashova: Department of Applied Mathematics and Cybernetics, Baku State University, Z.Khalilov st.23, AZ-1148, Baku, Azerbaijan

Academic Journal of Applied Mathematical Sciences, 2015, vol. 1, issue 1, 13-20

Abstract: We introduced the basic classes of curves (1) on which approximation is conducted and obtained constructive characteristic of analogue of Lipschitz class on curves in a complex plane in integral metrics. For that we proved an inverse theorem and to get a constructive characteristic for the analogue of Lipschitz class of order α on the curves (1) in a complex plane in the metric Lp(Γ), i.e. for the class Hpa(Γ) (P > 1) and 0

Keywords: Polynomial approximation; Inverse theorem; Constructive characteristic; Lipschitz class; Jackson-Bernstein theorem. (search for similar items in EconPapers)
Date: 2015
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