Let φ={φk}k=−∞∞ denote the extended Takenaka–Malmquist system on unit circle T and let σn,φ(f), f∈L1(T), be the Fejér-type operator based on φ, introduced by V. N. Rusak. We give the convergence criteria for σn,φ(f) in Banach space C(T). Also we prove the Voronovskaya-type theorem for σn,φ(f) on class of holomorphic functions representable by Cauchy-type integrals with bounded densities.
Keywords: Holomorphic functions; Takenaka–Malmquist system; Fejér type operator; Blaschke product; Frostman condition
Publication Name (dc.title) | Fejér-type positive operator based on Takenaka-Malmquist system on unit circle |
Author/s (dc.contributor.yazarlar) | F.G. Abdullayev, V.V. Savchuk |
Publication type (dc.type) | Makale |
Language (dc.language) | İngilizce |
Publication year (dc.date.issued) | 2023 |
National/International (dc.identifier.ulusaluluslararasi) | Uluslararası |
Source (dc.relation.journal) | Journal of Mathematical Analysis and Applications |
Number (dc.identifier.issue) | 2 |
Volume/Issue (dc.identifier.volume) | 529 |
Page (dc.identifier.startpage) | Article Number: 127298 |
ISSN/ISBN (dc.identifier.issn) | ISSN: 0022-247X; Online ISSN: 1096-0813 |
Publisher (dc.publisher) | Elsevier |
Databases (dc.contributor.veritaban) | Web of Science Core Collection |
Databases (dc.contributor.veritaban) | Sciencedirect |
Databases (dc.contributor.veritaban) | Scopus |
Index Type (dc.identifier.index) | SCI Expanded |
Index Type (dc.identifier.index) | Scopus |
Impact Factor (dc.identifier.etkifaktoru) | 1,3 / 2022-WOS / 5 Year: 1,3 |
Abstract (dc.description.abstract) | Let φ={φk}k=−∞∞ denote the extended Takenaka–Malmquist system on unit circle T and let σn,φ(f), f∈L1(T), be the Fejér-type operator based on φ, introduced by V. N. Rusak. We give the convergence criteria for σn,φ(f) in Banach space C(T). Also we prove the Voronovskaya-type theorem for σn,φ(f) on class of holomorphic functions representable by Cauchy-type integrals with bounded densities. |
Abstract (dc.description.abstract) | Keywords: Holomorphic functions; Takenaka–Malmquist system; Fejér type operator; Blaschke product; Frostman condition |
URL (dc.rights) | https://www.sciencedirect.com/science/article/abs/pii/S0022247X23003013 |
DOI (dc.identifier.doi) | 10.1016/j.jmaa.2023.127298 |
Faculty / Institute (dc.identifier.fakulte) | Fen Fakültesi |
Department (dc.identifier.bolum) | Uygulamalı Matematik ve Enformatik Bölümü |
Author(s) in the Institution (dc.contributor.author) | Fahreddin ABDULLAYEV |
Kayıt No (dc.identifier.kayitno) | BL1B1C23AA |
Record Add Date (dc.date.available) | 2023-04-27 |
Notes (Publication year) (dc.identifier.notyayinyili) | WOS Early Access: OCT 2023; Published: JAN 2024 |
Wos No (dc.identifier.wos) | WOS:001088676800001 |
Subject Headings (dc.subject) | blaschke product |
Subject Headings (dc.subject) | fejér type operator |
Subject Headings (dc.subject) | frostman condition |
Subject Headings (dc.subject) | holomorphic functions |
Subject Headings (dc.subject) | Takenaka–Malmquist system |