dc.contributor.author | Kirjackis, Eduardas | |
dc.date.accessioned | 2023-09-18T18:39:32Z | |
dc.date.available | 2023-09-18T18:39:32Z | |
dc.date.issued | 2010 | |
dc.identifier.issn | 1066-369X | |
dc.identifier.other | (BIS)VGT02-000022897 | |
dc.identifier.uri | https://etalpykla.vilniustech.lt/handle/123456789/130371 | |
dc.description.abstract | Let a set B have the following properties: if z ε B, then z ± 2π ε B and the intersection of B with the vertical strip 0 ≤ Re x ≤ π is a closed and bounded set. In this paper we study the approximation of a continuous on B and 2π-periodic function f(z) by trigonometric polynomials Tn(z). We establish the necessary and sufficient conditions for the function f(z) to be entire and specify a formula for calculating its order. In addition, we describe some metric properties of periodic sets in a plane. | eng |
dc.format | PDF | |
dc.format.extent | p. 84-86 | |
dc.format.medium | tekstas / txt | |
dc.language.iso | eng | |
dc.relation.isreferencedby | MathSciNet | |
dc.relation.isreferencedby | Zentralblatt MATH (zbMATH) | |
dc.relation.isreferencedby | Scopus | |
dc.relation.isreferencedby | SpringerLink | |
dc.source.uri | https://doi.org/10.3103/S1066369X10020106 | |
dc.title | On the approximation of entire functions by trigonometric polynomials | |
dc.type | Straipsnis Scopus DB / Article in Scopus DB | |
dcterms.references | 3 | |
dc.type.pubtype | S2 - Straipsnis Scopus DB / Scopus DB article | |
dc.contributor.institution | Vilniaus Gedimino technikos universitetas | |
dc.contributor.faculty | Fundamentinių mokslų fakultetas / Faculty of Fundamental Sciences | |
dc.subject.researchfield | N 001 - Matematika / Mathematics | |
dc.subject.en | Trigonometric polynomials | |
dc.subject.en | Entire function | |
dc.subject.en | Order of entire functions | |
dc.subject.en | Fekete numbers | |
dcterms.sourcetitle | Russian Mathematics (Iz. VUZ) | |
dc.description.issue | no. 2 | |
dc.description.volume | Vol. 54 | |
dc.publisher.name | Allerton Press | |
dc.publisher.city | New York | |
dc.identifier.doi | 10.3103/S1066369X10020106 | |
dc.identifier.elaba | 3946262 | |