Tbilisi Mathematical Journal

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

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

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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.

Article information

Source
Tbilisi Math. J., Volume 10, Issue 2 (2017), 111-120.

Dates
Received: 3 November 2016
Accepted: 15 March 2017
First available in Project Euclid: 26 May 2018

Permanent link to this document
https://projecteuclid.org/euclid.tbilisi/1527300048

Digital Object Identifier
doi:10.1515/tmj-2017-0030

Mathematical Reviews number (MathSciNet)
MR3652302

Zentralblatt MATH identifier
1364.41007

Subjects
Primary: 41A30: Approximation by other special function classes
Secondary: 41A50: Best approximation, Chebyshev systems 41A63: Multidimensional problems (should also be assigned at least one other classification number in this section)

Keywords
Ridge function path extremal element approximation error

Citation

Asgarova, Aida Kh.; Babayev, Arzu M-B.; Maharov, Ibrahim K. On the error of approximation by ridge functions with two fixed directions. Tbilisi Math. J. 10 (2017), no. 2, 111--120. doi:10.1515/tmj-2017-0030. https://projecteuclid.org/euclid.tbilisi/1527300048


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