On the error of approximation by ridge functions with two fixed directions

Aida Kh. Asgarova; Arzu M-B. Babayev; Ibrahim K. Maharov

doi:10.1515/tmj-2017-0030

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Home > Journals > Tbilisi Math. J. > Volume 10 > Issue 2 > Article

Feb 2017 On the error of approximation by ridge functions with two fixed directions

Aida Kh. Asgarova, Arzu M-B. Babayev, Ibrahim K. Maharov

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Aida Kh. Asgarova,¹ Arzu M-B. Babayev,¹ Ibrahim K. Maharov¹
¹Institute of Mathematics and Mechanics, National Academy of Sciences of Azerbaijan

Tbilisi Math. J. 10(2): 111-120 (Feb 2017). DOI: 10.1515/tmj-2017-0030

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Abstract

We consider the problem of approximation of a continuous multivariate function by sums of two ridge functions in the uniform norm. We obtain a formula for the approximation error in terms functionals generated by closed paths.

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Aida Kh. Asgarova. Arzu M-B. Babayev. Ibrahim K. Maharov. "On the error of approximation by ridge functions with two fixed directions." Tbilisi Math. J. 10 (2) 111 - 120, Feb 2017. https://doi.org/10.1515/tmj-2017-0030

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Received: 3 November 2016; Accepted: 15 March 2017; Published: Feb 2017

First available in Project Euclid: 26 May 2018

zbMATH: 1364.41007

MathSciNet: MR3652302

Digital Object Identifier: 10.1515/tmj-2017-0030

Subjects:

Primary: 41A30

Secondary: 41A50 , 41A63

Keywords: Approximation error , extremal element , path , ridge function

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Tbilisi Math. J.

Vol.10 • No. 2 • Feb 2017

Tbilisi Centre for Mathematical Sciences

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Aida Kh. Asgarova, Arzu M-B. Babayev, Ibrahim K. Maharov "On the error of approximation by ridge functions with two fixed directions," Tbilisi Mathematical Journal, Tbilisi Math. J. 10(2), 111-120, (Feb 2017)

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