Bulletin of the
Korean Mathematical Society
BKMS

ISSN(Print) 1015-8634 ISSN(Online) 2234-3016

Article

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Bull. Korean Math. Soc. 2022; 59(1): 45-72

Online first article January 7, 2022      Printed January 31, 2022

https://doi.org/10.4134/BKMS.b210023

Copyright © The Korean Mathematical Society.

Bernstein-Walsh type inequalities for derivatives of algebraic polynomials

Fahreddin G. Abdullayev, Cevahir D. G\"{u}n

Mersin University; Gaziantep University

Abstract

In this work, we study Bernstein-Walsh-type estimations for the derivative of an arbitrary algebraic polynomial in regions with piecewise smooth boundary without cusps of the complex plane. Also, estimates are given on the whole complex plane.

Keywords: Algebraic polynomial, quasicircle, smooth curve, inequalities

MSC numbers: Primary 30C30, 30E10, 30C70