On a lower bound for the rate of convergence of multipoint Padé approximants of piecewise analytic functions. (June 2021)
- Record Type:
- Journal Article
- Title:
- On a lower bound for the rate of convergence of multipoint Padé approximants of piecewise analytic functions. (June 2021)
- Main Title:
- On a lower bound for the rate of convergence of multipoint Padé approximants of piecewise analytic functions
- Authors:
- Buslaev, V. I.
- Abstract:
- Abstract: We obtain a lower bound for the rate of convergence of multipoint Padé approximants of functions holomorphically extendable from a compact set to a union of domains whose boundaries possess a symmetry property. The bound obtained matches a known upper bound for the same quantity.
- Is Part Of:
- Izvestiya. Volume 85:Number 3(2021)
- Journal:
- Izvestiya
- Issue:
- Volume 85:Number 3(2021)
- Issue Display:
- Volume 85, Issue 3 (2021)
- Year:
- 2021
- Volume:
- 85
- Issue:
- 3
- Issue Sort Value:
- 2021-0085-0003-0000
- Page Start:
- 351
- Page End:
- 366
- Publication Date:
- 2021-06
- Subjects:
- 30E10 -- 41A21 -- 41A25 -- 41A28
rational approximation -- orthogonal polynomials -- Padé approximants -- distribution of poles -- convergence in capacity
Mathematics -- Periodicals
510.5 - Journal URLs:
- http://iopscience.iop.org/1064-5632/ ↗
http://ioppublishing.org/ ↗
https://www.mi-ras.ru/index.php?l=1&c=publisher ↗ - DOI:
- 10.1070/IM9047 ↗
- Languages:
- English
- ISSNs:
- 1064-5632
- Deposit Type:
- Legaldeposit
- View Content:
- Available online (eLD content is only available in our Reading Rooms) ↗
- Physical Locations:
- British Library DSC - BLDSS-3PM
British Library STI - ELD Digital store - Ingest File:
- 17417.xml