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Title: Smooth GERBS, orthogonal systems and energy minimization

New results are obtained in three mutually related directions of the rapidly developing theory of generalized expo-rational B-splines (GERBS) [7, 6]: closed-form computability of C{sup ∞}-smooth GERBS in terms of elementary and special functions, Hermite interpolation and least-squares best approximation via smooth GERBS, energy minimizing properties of smooth GERBS similar to those of the classical cubic polynomial B-splines.
Authors:
;  [1]
  1. Faculty of Technology, Narvik University College, 2 Lodve Lange's St., P.O.Box 385, Narvik N-8505 (Norway)
Publication Date:
OSTI Identifier:
22262781
Resource Type:
Journal Article
Resource Relation:
Journal Name: AIP Conference Proceedings; Journal Volume: 1570; Journal Issue: 1; Conference: AMEE 13: 39. international conference on applications of mathematics in engineering and economics, Sozopol (Bulgaria), 8-13 Jun 2013; Other Information: (c) 2013 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
97 MATHEMATICAL METHODS AND COMPUTING; APPROXIMATIONS; INTERPOLATION; LEAST SQUARE FIT; MINIMIZATION; POLYNOMIALS