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Uniform and pointwise estimates for algebraic polynomials in regions with interior and exterior zero angles

Pelin Özkartepe N. (Gaziantep University, Nizip Education Faculty, Gaziantep, Turkey)
Tunç Tuncay (Mersin University, Faculty of Science and Letters, Mersin, Turkey)
Abdullayev Fahreddin G. (Mersin University, Faculty of Science and Letters, Mersin, Turkey + Kyrgyz-Turkish Manas University Faculty of Science, Bishkek, Kyrgyz Republic)

In this study, we give some estimates on the Nikolskii-type inequalities for complex algebraic polynomials in regions with piecewise smooth curves having exterior and interior zero angles.

Keywords: Polynomials, Nikol’skii inequalities, Bernstein inequalities, conformal mapping, quasicircle