Best approximation of a differentiation operator on the set of smooth functions with exactly or approximately given fourier transform

Research output: Chapter in Book/Report/Conference proceedingConference contributionResearchpeer-review

Original languageEnglish
Title of host publicationMathematical Optimization Theory and Operations Research - 18th International Conference, MOTOR 2019, Proceedings
EditorsMichael Khachay, Panos Pardalos, Yury Kochetov
PublisherSpringer Verlag
Pages434-448
Number of pages15
ISBN (Print)9783030226282
DOIs
Publication statusPublished - 1 Jan 2019
Event18th International Conference on Mathematical Optimization Theory and Operations Research, MOTOR 2019 - Ekaterinburg, Russian Federation
Duration: 8 Jul 201912 Jul 2019

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume11548 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

Conference18th International Conference on Mathematical Optimization Theory and Operations Research, MOTOR 2019
CountryRussian Federation
CityEkaterinburg
Period08/07/201912/07/2019

Fingerprint

Best Approximation
Smooth function
Mathematical operators
Fourier transform
Fourier transforms
Operator
Derivative
Derivatives
Functions of Bounded Variation
L-space
Norm
Uniform Norm
Continuously differentiable
Approximation Problem
Bounded Operator
Absolutely Continuous

Keywords

  • Functions with exactly or approximately given Fourier transform
  • Kolmogorov inequality
  • Optimal differentiation method

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Computer Science(all)

Cite this

Arestov, V. V. (2019). Best approximation of a differentiation operator on the set of smooth functions with exactly or approximately given fourier transform. In M. Khachay, P. Pardalos, & Y. Kochetov (Eds.), Mathematical Optimization Theory and Operations Research - 18th International Conference, MOTOR 2019, Proceedings (pp. 434-448). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 11548 LNCS). Springer Verlag. https://doi.org/10.1007/978-3-030-22629-9_30
Arestov, Vitalii V. / Best approximation of a differentiation operator on the set of smooth functions with exactly or approximately given fourier transform. Mathematical Optimization Theory and Operations Research - 18th International Conference, MOTOR 2019, Proceedings. editor / Michael Khachay ; Panos Pardalos ; Yury Kochetov. Springer Verlag, 2019. pp. 434-448 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)).
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Arestov, VV 2019, Best approximation of a differentiation operator on the set of smooth functions with exactly or approximately given fourier transform. in M Khachay, P Pardalos & Y Kochetov (eds), Mathematical Optimization Theory and Operations Research - 18th International Conference, MOTOR 2019, Proceedings. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 11548 LNCS, Springer Verlag, pp. 434-448, 18th International Conference on Mathematical Optimization Theory and Operations Research, MOTOR 2019, Ekaterinburg, Russian Federation, 08/07/2019. https://doi.org/10.1007/978-3-030-22629-9_30

Best approximation of a differentiation operator on the set of smooth functions with exactly or approximately given fourier transform. / Arestov, Vitalii V.

Mathematical Optimization Theory and Operations Research - 18th International Conference, MOTOR 2019, Proceedings. ed. / Michael Khachay; Panos Pardalos; Yury Kochetov. Springer Verlag, 2019. p. 434-448 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 11548 LNCS).

Research output: Chapter in Book/Report/Conference proceedingConference contributionResearchpeer-review

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Arestov VV. Best approximation of a differentiation operator on the set of smooth functions with exactly or approximately given fourier transform. In Khachay M, Pardalos P, Kochetov Y, editors, Mathematical Optimization Theory and Operations Research - 18th International Conference, MOTOR 2019, Proceedings. Springer Verlag. 2019. p. 434-448. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)). https://doi.org/10.1007/978-3-030-22629-9_30