On the Sharp Inequalities for Orthonormal Polynomials Along a Contour

ABDULLAYEV F., Abdullayev G.

Complex Analysis and Operator Theory, cilt.11, sa.7, ss.1569-1586, 2017 (SCI-Expanded, Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 11 Sayı: 7
  • Basım Tarihi: 2017
  • Doi Numarası: 10.1007/s11785-017-0640-1
  • Dergi Adı: Complex Analysis and Operator Theory
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1569-1586
  • Anahtar Kelimeler: Algebraic polynomials, Conformal mapping, Orthonormal polynomials, Quasicircle
  • Uşak Üniversitesi Adresli: Hayır

Özet

In this work, we investigate the order of growth of the modulus of an arbitrary algebraic polynomials in the weighted Lebesgue space, where the contour and the weight functions have some singularities. In particular, we obtain new exact estimations for the growth of the modulus of orthogonal polynomials.