Polynomial inequalities in regions with corners in the weighted Lebesgue spaces

ABDULLAYEV F.

Filomat, cilt.31, sa.18, ss.5647-5670, 2017 (SCI-Expanded, Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 31 Sayı: 18
  • Basım Tarihi: 2017
  • Doi Numarası: 10.2298/fil1718647a
  • Dergi Adı: Filomat
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.5647-5670
  • Anahtar Kelimeler: Algebraic polynomials, Cmooth curve, Conformal mapping, Orthogonal polynomials, Quasicircle
  • Uşak Üniversitesi Adresli: Hayır

Özet

In this work, we investigate the order of the growth of the modulus of orthogonal polynomials over a contour and also arbitrary algebraic polynomials in regions with corners in a weighted Lebesgue space, where the singularities of contour and the weight functions satisfy some condition.