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Jackson's inequality in the complex plane and the Lojasiewicz-Siciak inequality of Green's function by Bialas-Ciez, Leokadia; Eggink, Raimondo is a scholarly article available to read on EtoBox.

What is Jackson's inequality in the complex plane and the Lojasiewicz-Siciak inequality of Green's function about?

We prove a generalization of Dunham Jackson's famous approximation inequality to the case of compact sets in the complex plane admitting both upper and lower bounds for their Green's functions, i.e. the well known Holder Continuity Property (HCP) and the less known but crucial Lojasiewicz-Siciak inequality (LS). Moreover, we show that (LS) is a necessary condition for our Jackson type inequality.

Author

Bialas-Ciez, Leokadia; Eggink, Raimondo

Published

2013

Language

EN