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.
Publication Name (dc.title) | WIDTHS OF FUNCTIONAL CLASSES DEFINED BY THE MAJORANTS OF GENERALIZED MODULI OF SMOOTHNESS IN THE SPACES S-p |
Author/s (dc.contributor.yazarlar) | F.G. Abdullayev, A.S. Serdyuk, A.L. Shidlich |
Publication type (dc.type) | Makale |
Language (dc.language) | İngilizce |
Publication year (dc.date.issued) | 2021 |
National/International (dc.identifier.ulusaluluslararasi) | Uluslararası |
Source (dc.relation.journal) | Ukrainian Mathematical Journal |
Number (dc.identifier.issue) | 6 |
Volume/Issue (dc.identifier.volume) | 737 |
Page (dc.identifier.startpage) | 841-858 |
ISSN/ISBN (dc.identifier.issn) | ISSN: 0041-5995; Online ISSN: 1573-9376 |
Publisher (dc.publisher) | Springer |
Databases (dc.contributor.veritaban) | Web of Science Core Collection |
Databases (dc.contributor.veritaban) | Springer |
Databases (dc.contributor.veritaban) | Scopus |
Index Type (dc.identifier.index) | SCI Expanded |
Index Type (dc.identifier.index) | Scopus |
Impact Factor (dc.identifier.etkifaktoru) | 0,446 / 2020-WOS / 5 Year: 0,386 |
Abstract (dc.description.abstract) | 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. |
URL (dc.rights) | https://link.springer.com/article/10.1007/s11253-021-01963-6 |
DOI (dc.identifier.doi) | 10.1007/s11253-021-01963-6 |
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) | BLE414235B |
Record Add Date (dc.date.available) | 2021-12-24 |
Notes (Publication year) (dc.identifier.notyayinyili) | November 2021 |
Wos No (dc.identifier.wos) | WOS:000726070500001 |
Subject Headings (dc.subject) | inverse approximation theorems |
Subject Headings (dc.subject) | exact constants |
Subject Headings (dc.subject) | inequalities |
Subject Headings (dc.subject) | continuity |
Subject Headings (dc.subject) | variables |