Bernstein-Nikol'skii-Type Inequalities for Algebraic Polynomials from the Bergman Space in Domains of the Complex Plane

Fahreddin ABDULLAYEV

We study Bernstein-type and Nikol'skii-type estimates for an arbitrary algebraic polynomial in regions of the complex plane.

Makale 2021 Fen Fakültesi Ukrainian Mathematical Journal73 ( 4 ) 92 Görüntülenme

WIDTHS OF FUNCTIONAL CLASSES DEFINED BY THE MAJORANTS OF GENERALIZED MODULI OF SMOOTHNESS IN THE SPACES S-p

Fahreddin ABDULLAYEV

We obtain exact Jackson-type inequalities in terms of the best approximations and averaged values of the generalized moduli of smoothness in the spaces S-p. For classes of periodic functions defined by certain conditions imposed on the average values of the generalized moduli of smoothness, we determine the exact values of the Kolmogorov, Bernstein, linear, and projective widths in the spaces S-p.

Makale 2021 Fen Fakültesi Ukrainian Mathematical Journal737 ( 6 ) 49 Görüntülenme

Detaylı Arama

Filtreler

Koleksiyon [1]

Araştırmacılar [1]

BM Sürdürülebilir Kalkınma [1]

Fakültesi / Enstitütü [1]

Yayın Türü [1]

Yayımlanma Yılı [1]

Dil [1]

Kaynak [1]

Veri Tabanları [3]

İndex Türü [2]

Yayıncı [1]

Bölümü [1]

Ulusal/Uluslararası [1]

Konu Başlıkları [12]

Bernstein-Nikol'skii-Type Inequalities for Algebraic Polynomials from the Bergman Space in Domains of the Complex Plane

Fahreddin ABDULLAYEV

WIDTHS OF FUNCTIONAL CLASSES DEFINED BY THE MAJORANTS OF GENERALIZED MODULI OF SMOOTHNESS IN THE SPACES S-p

Fahreddin ABDULLAYEV