On the Growth of Derivatives of Algebraic Polynomials in a Weighted Lebesgue Space

Fahreddin ABDULLAYEV | Meerim İmaş Kızı

We study the growth rates of the derivatives of an arbitrary algebraic polynomial in bounded and inbounded regions of the complex plane in weighted Lebesgue spaces.

Makale 2022 Fen Fakültesi Ukrainian Mathematical Journal74 ( 5 ) 128 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 [2]

BM Sürdürülebilir Kalkınma [1]

Fakültesi / Enstitütü [1]

Yayın Türü [1]

Yayımlanma Yılı [2]

Dil [1]

Kaynak [1]

Veri Tabanları [3]

İndex Türü [2]

Yayıncı [1]

Bölümü [1]

Ulusal/Uluslararası [1]

Konu Başlıkları [12]

On the Growth of Derivatives of Algebraic Polynomials in a Weighted Lebesgue Space

Fahreddin ABDULLAYEV | Meerim İmaş Kızı

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

Fahreddin ABDULLAYEV