Author:
Gonçalves Felipe,Littmann Friedrich
Abstract
AbstractWe investigate the convergence of entire Lagrange interpolations and of Hermite interpolations of exponential type $$\tau $$
τ
, as $$\tau \rightarrow \infty $$
τ
→
∞
, in weighted $$L^p$$
L
p
-spaces on the real line. The weights are reciprocals of entire functions that depend on $$\tau $$
τ
and may be viewed as smoothed versions of a target weight w. The convergence statements are obtained from weighted Marcinkiewicz inequalities for entire functions. We apply our main results to deal with power weights.
Funder
Rheinische Friedrich-Wilhelms-Universität Bonn
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Computational Theory and Mathematics,Computational Mathematics
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