A calculation of limits of L1 means for some weighted Poisson kernels in the unit disc
(2011) In Master's Theses in Mathematical Sciences MATM01 20111Mathematics (Faculty of Sciences)
- Abstract
- In this paper we calculate the limit of the $L^1$-means of certain weighted Poisson kernels in the unit disc and show that this limit is equal to $1$. Our result is in sharp contrast to a recent result by George F\"ulep who has shown that some related limit superiors are strictly greater than $1$. Limits of this type are of interest from the point of view of approximation theory.
Please use this url to cite or link to this publication:
http://lup.lub.lu.se/student-papers/record/2493471
- author
- Mattias, Ashu
- supervisor
- organization
- course
- MATM01 20111
- year
- 2011
- type
- H2 - Master's Degree (Two Years)
- subject
- publication/series
- Master's Theses in Mathematical Sciences
- report number
- LUNFMA-3063-2011
- ISSN
- 1404-6342
- language
- English
- id
- 2493471
- date added to LUP
- 2012-09-20 15:49:42
- date last changed
- 2012-09-20 15:49:42
@misc{2493471, abstract = {{In this paper we calculate the limit of the $L^1$-means of certain weighted Poisson kernels in the unit disc and show that this limit is equal to $1$. Our result is in sharp contrast to a recent result by George F\"ulep who has shown that some related limit superiors are strictly greater than $1$. Limits of this type are of interest from the point of view of approximation theory.}}, author = {{Mattias, Ashu}}, issn = {{1404-6342}}, language = {{eng}}, note = {{Student Paper}}, series = {{Master's Theses in Mathematical Sciences}}, title = {{A calculation of limits of L1 means for some weighted Poisson kernels in the unit disc}}, year = {{2011}}, }