BERNSTEIN-WALSH TYPE INEQUALITIES FOR DERIVATIVES OF ALGEBRAIC POLYNOMIALS

ABDULLAYEV F., Gün C. D.

Bulletin of the Korean Mathematical Society, cilt.59, sa.1, ss.45-72, 2022 (SCI-Expanded, Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 59 Sayı: 1
  • Basım Tarihi: 2022
  • Doi Numarası: 10.4134/bkms.b210023
  • Dergi Adı: Bulletin of the Korean Mathematical Society
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH
  • Sayfa Sayıları: ss.45-72
  • Anahtar Kelimeler: Algebraic polynomial, Inequalities, Quasicircle, Smooth curve
  • Uşak Üniversitesi Adresli: Hayır

Özet

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