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On the growth of mth derivatives of algebraic polynomials in the weighted Lebesgue space
- Source :
- Applied Mathematics in Science and Engineering, Vol 30, Iss 1, Pp 249-282 (2022)
- Publication Year :
- 2022
- Publisher :
- Taylor & Francis Group, 2022.
-
Abstract
- In this paper, we study the growth of the mth derivative of an arbitrary algebraic polynomial in bounded and unbounded general domains of the complex plane in weighted Lebesgue spaces. Further, we obtain estimates for the derivatives at the closure of this regions. As a result, estimates for derivatives on the entire complex plane were found.
Details
- Language :
- English
- ISSN :
- 27690911
- Volume :
- 30
- Issue :
- 1
- Database :
- Directory of Open Access Journals
- Journal :
- Applied Mathematics in Science and Engineering
- Publication Type :
- Academic Journal
- Accession number :
- edsdoj.bb44ee1607584d608248e5780f189ba7
- Document Type :
- article
- Full Text :
- https://doi.org/10.1080/27690911.2022.2056170