Mathematics of the USSR-Sbornik
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Mat. Sb.:
Year:
Volume:
Issue:
Page:
Find






Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register


Mathematics of the USSR-Sbornik, 1967, Volume 2, Issue 3, Pages 295–317
DOI: https://doi.org/10.1070/SM1967v002n03ABEH002343
(Mi sm4132)
 

This article is cited in 135 scientific papers (total in 135 papers)

Piecewise-polynomial approximations of functions of the classes Wpα

M. Sh. Birman, M. Z. Solomyak
Received: 30.11.1966
Bibliographic databases:
UDC: 513.881
Language: English
Original paper language: Russian
Citation: M. Sh. Birman, M. Z. Solomyak, “Piecewise-polynomial approximations of functions of the classes Wpα”, Math. USSR-Sb., 2:3 (1967), 295–317
Citation in format AMSBIB
\Bibitem{BirSol67}
\by M.~Sh.~Birman, M.~Z.~Solomyak
\paper Piecewise-polynomial approximations of functions of the classes $W_p^\alpha$
\jour Math. USSR-Sb.
\yr 1967
\vol 2
\issue 3
\pages 295--317
\mathnet{http://mi.mathnet.ru/eng/sm4132}
\crossref{https://doi.org/10.1070/SM1967v002n03ABEH002343}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=217487}
\zmath{https://zbmath.org/?q=an:0173.16001}
Linking options:
  • https://www.mathnet.ru/eng/sm4132
  • https://doi.org/10.1070/SM1967v002n03ABEH002343
  • https://www.mathnet.ru/eng/sm/v115/i3/p331
  • This publication is cited in the following 135 articles:
    1. Feng-Lei Fan, Mengzhou Li, Fei Wang, Rongjie Lai, Ge Wang, “On Expressivity and Trainability of Quadratic Networks”, IEEE Trans. Neural Netw. Learning Syst., 36:1 (2025), 1228  crossref
    2. A. K. Kushpel, “Ellipsoidy Dzhona–Levnera i entropiya operatorov-multiplikatorov na kompaktnykh odnorodnykh mnogoobraziyakh ranga 1”, Matem. sb., 216:2 (2025), 81–109  mathnet  crossref
    3. Tsogtgerel Gantumur, “Convergence Theory of Adaptive Mixed Finite Element Methods for the Stokes Problem”, J Math Sci, 279:6 (2024), 794  crossref
    4. Johannes Milz, Michael Ulbrich, “Sample Size Estimates for Risk-Neutral Semilinear PDE-Constrained Optimization”, SIAM J. Optim., 34:1 (2024), 844  crossref
    5. Yue Wang, Hongmei Lin, Zengyan Fan, Heng Lian, “Locally adaptive sparse additive quantile regression model with TV penalty”, Journal of Statistical Planning and Inference, 232 (2024), 106144  crossref
    6. Yue Li, Guanggui Chen, Yanyan Xu, Xiangyu Pan, “The Approximation Characteristics of Weighted Band-Limited Function Space”, Mathematics, 12:9 (2024), 1348  crossref
    7. Eunji Lim, “Estimating a Function and Its Derivatives Under a Smoothness Condition”, Mathematics of OR, 2024  crossref
    8. Chistophe Gomez, Gautam Iyer, Hai Le, Alexei Novikov, “An Oscillator Driven by Algebraically Decorrelating Noise”, Commun. Math. Phys., 402:1 (2023), 231  crossref
    9. Sara van de Geer, Peter Hinz, Springer Proceedings in Mathematics & Statistics, 425, Foundations of Modern Statistics, 2023, 163  crossref
    10. F. A. Sukochev, D. V. Zanin, “Solomyak-type eigenvalue estimates for the Birman-Schwinger operator”, Sb. Math., 213:9 (2022), 1250–1289  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi
    11. Jiachuan Wang, Lei Chen, Charles Wang Wai Ng, Proceedings of the Fifteenth ACM International Conference on Web Search and Data Mining, 2022, 1025  crossref
    12. A. Anderson, A. Reznikov, O. Vlasiuk, E. White, “Polarization and covering on sets of low smoothness”, Advances in Mathematics, 410 (2022), 108720  crossref
    13. I. V. Boikov, V. A. Ryazantsev, “On the optimal approximation of geophysical fields”, Num. Anal. Appl., 14:1 (2021), 13–29  mathnet  crossref  crossref  isi
    14. Francesco Ortelli, Sara van de Geer, “Oracle inequalities for square root analysis estimators with application to total variation penalties”, Information and Inference: A Journal of the IMA, 10:2 (2021), 483  crossref
    15. Johannes O. Royset, “Approximations of semicontinuous functions with applications to stochastic optimization and statistical estimation”, Math. Program., 184:1-2 (2020), 289  crossref
    16. Zheng-Chu Guo, Lei Shi, “Fast and strong convergence of online learning algorithms”, Adv Comput Math, 45:5-6 (2019), 2745  crossref
    17. Nicolas Flammarion, Cheng Mao, Philippe Rigollet, “Optimal rates of statistical seriation”, Bernoulli, 25:1 (2019)  crossref
    18. Hao Henry Zhou, Garvesh Raskutti, “Non-Parametric Sparse Additive Auto-Regressive Network Models”, IEEE Trans. Inform. Theory, 65:3 (2019), 1473  crossref
    19. G. V. Rozenblum, “On the mathematical papers of Mikhail Zakharovich Solomyak”, St. Petersburg Math. J., 30:3 (2019), 391–410  mathnet  crossref  mathscinet  isi  elib
    20. Alan Muro, Sara van de Geer, “Concentration behavior of the penalized least squares estimator”, Statistica Neerlandica, 72:2 (2018), 109  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математический сборник (новая серия) - 1964–1988 Sbornik: Mathematics
    Statistics & downloads:
    Abstract page:2685
    Russian version PDF:939
    English version PDF:174
    First page:3
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025