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Matematicheskie Zametki, 1986, Volume 40, Issue 2, Pages 161–173 (Mi mzm5144)  

This article is cited in 12 scientific papers (total in 12 papers)

Trigonometric diameters of the Sobolev classes Wrp in the space Lp

V. E. Maiorov
Received: 27.02.1984
English version:
Mathematical Notes, 1986, Volume 40, Issue 2, Pages 590–597
DOI: https://doi.org/10.1007/BF01159113
Bibliographic databases:
UDC: 513.4
Language: Russian
Citation: V. E. Maiorov, “Trigonometric diameters of the Sobolev classes Wrp in the space Lp”, Mat. Zametki, 40:2 (1986), 161–173; Math. Notes, 40:2 (1986), 590–597
Citation in format AMSBIB
\Bibitem{Mai86}
\by V.~E.~Maiorov
\paper Trigonometric diameters of the Sobolev classes $W^r_p$ in the space $L_p$
\jour Mat. Zametki
\yr 1986
\vol 40
\issue 2
\pages 161--173
\mathnet{http://mi.mathnet.ru/mzm5144}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=864281}
\zmath{https://zbmath.org/?q=an:0623.41024}
\transl
\jour Math. Notes
\yr 1986
\vol 40
\issue 2
\pages 590--597
\crossref{https://doi.org/10.1007/BF01159113}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1986G235400016}
Linking options:
  • https://www.mathnet.ru/eng/mzm5144
  • https://www.mathnet.ru/eng/mzm/v40/i2/p161
  • This publication is cited in the following 12 articles:
    1. G. Akishev, “Estimates of M–term approximations of functions of several variables in the Lorentz space by a constructive method”, Eurasian Math. J., 15:2 (2024), 8–32  mathnet  crossref
    2. G. A. Akishev, “On estimates for orders of best M-term approximations of multivariate functions in anisotropic Lorentz–Karamata spaces”, Ufa Math. J., 15:1 (2023), 1–20  mathnet  crossref  mathscinet
    3. G. A. Akishev, “O poryadkakh n-chlennykh priblizhenii funktsii mnogikh peremennykh v prostranstve Lorentsa”, Materialy Voronezhskoi mezhdunarodnoi zimnei matematicheskoi shkoly «Sovremennye metody teorii funktsii i smezhnye problemy», Voronezh, 27 yanvarya — 1 fevralya 2023 g. Chast 1, Itogi nauki i tekhn. Sovrem. mat. i ee pril. Temat. obz., 227, VINITI RAN, M., 2023, 3–19  mathnet  crossref
    4. G. A. Akishev, “O nailuchshikh M-chlennykh priblizheniyakh funktsii klassa Nikolskogo – Besova v prostranstve Lorentsa”, Tr. IMM UrO RAN, 28, no. 1, 2022, 7–26  mathnet  crossref  mathscinet  elib
    5. G. Akishev, A. Myrzagaliyeva, “ON ESTIMATES OF M-TERM APPROXIMATIONS ON CLASSES OF FUNCTIONS WITH BOUNDED MIXED DERIVATIVE IN THE LORENTZ SPACE”, J Math Sci, 266:6 (2022), 870  crossref
    6. K. A. Bekmaganbetov, Y. Toleugazy, “On the Order of the Trigonometric Diameter of the Anisotropic Nikol'skii–Besov Class in the Metric of Anisotropic Lorentz Spaces”, Anal Math, 45:2 (2019), 237  crossref
    7. Akishev G., “Estimations of the Best M - Term Approximations of Functions in the Lorentz Space With Constructive Methods”, Bull. Karaganda Univ-Math., 87:3 (2017), 13–26  isi
    8. V. Temlyakov, “Constructive Sparse Trigonometric Approximation for Functions with Small Mixed Smoothness”, Constr. Approx., 45 (2017), 467–495  mathnet  crossref  isi  scopus
    9. Temlyakov V., “Sparse Approximation by Greedy Algorithms”, Mathematical Analysis, Probability and Applications – Plenary Lectures, Springer Proceedings in Mathematics & Statistics, Springer Proceedings in Mathematics & Statistics, 177, ed. Qian T. Rodino L., Springer, 2016, 183–215  crossref  mathscinet  isi  scopus
    10. Vladimir Temlyakov, Applied and Numerical Harmonic Analysis, New Trends in Applied Harmonic Analysis, 2016, 107  crossref
    11. Vladimir Temlyakov, “Incremental greedy algorithm and its applications in numerical integration”, Springer Proc. Math. Statist., 163 (2016), 557–570  mathnet  crossref  isi  scopus
    12. V. N. Temlyakov, “Constructive sparse trigonometric approximation and other problems for functions with mixed smoothness”, Sb. Math., 206:11 (2015), 1628–1656  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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