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An asymptotically sharp coefficients estimate for harmonic K-quasiconformal mappings.
- Source :
- Journal of Inequalities & Applications; 3/2/2016, Vol. 2016 Issue 1, p1-8, 8p
- Publication Year :
- 2016
-
Abstract
- By using the improved Hübner inequalities, in this paper we obtain an asymptotically sharp lower bound estimate for the coefficients of harmonic K-quasiconformal self-mappings of the unit disk ${\mathbb{D}}$ which keep the origin fixed. The result partly improves the former results given by (Partyka and Sakan in Ann. Acad. Sci. Fenn., Math. 30:167-182, ) and (Zhu and Zeng in J. Comput. Anal. Appl. 13:1081-1087, ). Furthermore, using some estimate for the derivative of the boundary function of a harmonic K-quasiconformal self-mapping w of ${\mathbb{D}}$ which keeps the origin fixed, we obtain an upper bound estimate for the coefficients of w. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 10255834
- Volume :
- 2016
- Issue :
- 1
- Database :
- Complementary Index
- Journal :
- Journal of Inequalities & Applications
- Publication Type :
- Academic Journal
- Accession number :
- 113465133
- Full Text :
- https://doi.org/10.1186/s13660-016-1033-0