Bernstein–Walsh-Type Polynomial Inequalities in Domains Bounded by Piecewise Asymptotically Conformal Curve with Nonzero Inner Angles in the Bergman Space

ABDULLAYEV, FAHREDDİN; Abdullayev, G.A.; Şimşek, D.

doi:10.1007/s11253-019-01669-w

Bernstein–Walsh-Type Polynomial Inequalities in Domains Bounded by Piecewise Asymptotically Conformal Curve with Nonzero Inner Angles in the Bergman Space

ABDULLAYEV F., Abdullayev G., Şimşek D.

Ukrainian Mathematical Journal, cilt.71, sa.5, ss.663-676, 2019 (SCI-Expanded, Scopus)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 71 Sayı: 5
Basım Tarihi: 2019
Doi Numarası: 10.1007/s11253-019-01669-w
Dergi Adı: Ukrainian Mathematical Journal
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Sayfa Sayıları: ss.663-676
Uşak Üniversitesi Adresli: Hayır

Özet

We continue our investigation of the order of growth of the modulus of an arbitrary algebraic polynomial in the Bergman weight space, where the contour and weight functions have certain singularities. In particular, we deduce a Bernstein–Walsh-type pointwise estimate for algebraic polynomials in unbounded domains with piecewise asymptotically conformal curves with nonzero inner angles in the Bergman weight space.