Smoothness and uniqueness in ridge function representation

Author:

Pinkus A.

Publisher

Elsevier BV

Subject

General Mathematics

Reference12 articles.

1. Functional Equations and their Applications;Aczél,1966

2. Identifying linear combinations of ridge functions;Buhmann;Adv. Appl. Math.,1999

3. Some remarks on ridge functions;Dahmen;Approx. Theory Appl.,1987

4. Functions whose differences belong to a given class;de Bruijn;Nieuw Arch. Wiskd.,1951

5. A difference property for Riemann integrable functions and for some similar classes of functions;de Bruijn;Nederl. Akad. Wetensch. Proc. Ser. A. 55= Indag. Math.,1952

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1. On the Representation by Bivariate Ridge Functions;Ukrainian Mathematical Journal;2021-10

2. On the representation by bivariate ridge functions;Ukrains’kyi Matematychnyi Zhurnal;2021-05-24

3. A representation problem for smooth sums of ridge functions;Journal of Approximation Theory;2020-09

4. A note on continuous sums of ridge functions;Journal of Approximation Theory;2019-01

5. A note on the equioscillation theorem for best ridge function approximation;Expositiones Mathematicae;2017-09

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