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Constructive Characterization of Analogue of Lipschitz Class in Integral Metric

Author

Listed:
  • 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)

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

Suggested Citation

  • Jamal I. Mamedkhanov & Irada B. Dadashova, 2015. "Constructive Characterization of Analogue of Lipschitz Class in Integral Metric," Academic Journal of Applied Mathematical Sciences, Academic Research Publishing Group, vol. 1(1), pages 13-20, 12-2015.
    • Handle: RePEc:arp:ajoams:2015:p:13-20
    DOI: arpgweb.com/?ic=journal&journal=17&info=aims
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