On some properties of smooth sums of ridge functions

Author:

Kuleshov A. A.

Publisher

Pleiades Publishing Ltd

Subject

Mathematics (miscellaneous)

Reference17 articles.

1. R. A. Aliev and V. E. Ismailov, “On a smoothness problem in ridge function representation, ” Adv. Appl. Math. 73, 154–169 (2016).

2. D. Braess and A. Pinkus, “Interpolation by ridge functions, ” J. Approx. Theory 73, 218–236 (1993).

3. N. G. de Bruijn, “Functions whose differences belong to a given class, ” Nieuw Arch. Wiskd., Ser. 2, 23, 194–218 (1951).

4. M. D. Buhmann and A. Pinkus, “Identifying linear combinations of ridge functions, ” Adv. Appl. Math. 22 (1), 103–118 (1999).

5. A. Yu. Golovko, “Additive and multiplicative anisotropic estimates for integral norms of differentiable functions on irregular domains, ” Tr. Mat. Inst. im. V.A. Steklova, Ross. Akad. Nauk 290, 293–303 (2015) [Proc. Steklov Inst. Math. 290, 277–287 (2015)].

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