Isaac Scientific Publishing

Advances in Analysis

Polynomial Inequalities in Regions with Piecewise Asymptotically Conformal Curve in the Weighted Lebesgue Space

Download PDF (948 KB) PP. 100 - 112 Pub. Date: April 5, 2018

DOI: 10.22606/aan.2018.32004

Author(s)

  • F.G.ABDULLAYEV*
    Kyrgyz-Turkish Manas University, Bishkek-KYRGYZSTAN- Mersin University, Mersin TURKEY
  • D. SIMSEK
    Kyrgyz-Turkish Manas University, Bishkek-KYRGYZSTAN-Selçuk University, Konya-TURKEY
  • N. SAYPIDINOVA
    Kyrgyz-Turkish Manas University, Bishkek-KYRGYZSTAN
  • Z. TASHPAEVA
    Kyrgyz-Turkish Manas University, Bishkek-KYRGYZSTAN

Abstract

In this present work, we study the Nikolskii type estimations for algebraic polynomials in the bounded regions with piecewise-asymptotically conformal curve, having interior and exterior zero angles, in the weighted Lebesgue space

Keywords

Algebraic polynomials, conformal mapping, assymptotically coformal curve, quasicircle

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