Use this URL to cite this publication: https://hdl.handle.net/20.500.14911/150280
К вопросу о приближении целой функции тригонометрическими многочленами
Publication Type (CRIS)
Straipsnis kitame recenzuojamame leidinyje / Article in other peer-reviewed edition (S5)
Publication Type (eLABa)
Straipsnis kitame recenzuotame leidinyje / Article in other peer-reviewed publication (S4)
Author(s)
Title
К вопросу о приближении целой функции тригонометрическими многочленами
Eduardas Kirjackis
Title in other language
On the approximation of entire functions by trigonometric polynomials
Is part of
Известия высших учебных заведений. Математика
Published In
| Year | Issue | Start Page | End Page |
|---|---|---|---|
2010 | 2 | 97 | 100 |
Publisher
Казань : Казанский федеральный университет
Extent
p. 97-100
URI
| URI | Access Rights |
|---|---|
| https://hdl.handle.net/20.500.14911/150280 | |
| Straipsnis | Viso teksto dokumentas (atviroji prieiga) / Full Text Document (Open Access) |
Cited references
3
Science / Art Area
Gamtos mokslai / Natural Sciences (N)
Field of Science / Art
Matematika / Mathematics (N001)
Abstract (en)
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.
Resource Type (COAR)
TextJournalJournal articleResearch article
Language
Anglų / English (en)
Country
Rusija / Russian Federation (RU)
Accounting Year
2011
Owning collection
ISSN (of the container)
0021-3446
eLABa ID
6231183