Best approximation of holomorphic functions from hardy space in terms of taylor coefficients

ABDULLAYEV, FAHREDDİN; Abdullayev, G.A.; Savchuk, V.V.

doi:10.2298/fil1905417a

Best approximation of holomorphic functions from hardy space in terms of taylor coefficients

ABDULLAYEV F., Abdullayev G., Savchuk V.

Filomat, cilt.33, sa.5, ss.1417-1424, 2019 (SCI-Expanded, Scopus)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 33 Sayı: 5
Basım Tarihi: 2019
Doi Numarası: 10.2298/fil1905417a
Dergi Adı: Filomat
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Sayfa Sayıları: ss.1417-1424
Anahtar Kelimeler: Best approximation, Coefficients of holomorphic functions, Hardy space
Uşak Üniversitesi Adresli: Hayır

Özet

We describe the set of holomorphic functions from the Hardy space Hq, 1 ≤ q ≤ ∞, for which the best polynomial approximation En ( f )q is equal to | f(n) (0)|/n!.