Ostrowski-type theorems for harmonic functions
|Title:||Ostrowski-type theorems for harmonic functions||Authors:||Manolaki, Myrto||Permanent link:||http://hdl.handle.net/10197/4034||Date:||15-Jul-2012||Online since:||2013-01-14T17:07:58Z||Abstract:||Ostrowski showed that there are intimate connections between the gap structure of a Taylor series and the behaviour of its partial sums outside the disk of convergence. This paper investigates the corresponding problem for the homogeneous polynomial expansion of a harmonic function. The results for harmonic functions display new features in the case of higher dimensions.||Funding Details:||Science Foundation Ireland||Type of material:||Journal Article||Publisher:||Elsevier||Journal:||Journal of Mathematical Analysis and Applications||Volume:||391||Issue:||2||Start page:||480||End page:||488||Copyright (published version):||2012 Elsevier Inc||Keywords:||Harmonic functions; Homogeneous polynomial expansion; Ostrowski gaps||DOI:||10.1016/j.jmaa.2012.02.047||Language:||en||Status of Item:||Peer reviewed|
|Appears in Collections:||Mathematics and Statistics Research Collection|
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