Convex approximations of analytic functions

Mihai N. Pascu and Nicolae R. Pascu

Applied Mathematics and Computation, 2014, vol. 232, issue C, 559-567

Abstract: We introduce a method for constructing the best approximation of an analytic function in a subclass K∗⊂K of convex functions, in the sense of the L2 norm. The construction is based on solving a certain semi-infinite quadratic programming problem, which may be of independent interest.

Keywords: Univalent function; Convex function; Approximation of analytic functions; Quadratic programming; Karush–Kuhn–Tucker conditions (search for similar items in EconPapers)
Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:232:y:2014:i:c:p:559-567

DOI: 10.1016/j.amc.2014.01.089

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