Processing math: 100%
Russian Academy of Sciences. Sbornik. Mathematics
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


Russian Academy of Sciences. Sbornik. Mathematics, 1995, Volume 82, Issue 2, Pages 441–459
DOI: https://doi.org/10.1070/SM1995v082n02ABEH003574
(Mi sm919)
 

This article is cited in 47 scientific papers (total in 47 papers)

On approximation by families of linear polynomial operators in lP-spaces, 0<p<1

K. V. Runovskii

T. H. Shevchenko Chernihiv State Pedagogical Institute
References:
Abstract: New applications are given for a method of approximation by families of linear polynomial operators in Lp-spaces with 0<p<1 that was developed by the author in previous papers. In particular, a direct theorem and an inverse theorem on approximation 'by angle' of trigonometric polynomials are proved in the case of higher-order moduli of smoothness.
Received: 27.09.1993
Bibliographic databases:
UDC: 517.51
MSC: Primary 41A10, 41A27, 41A63, 42A10; Secondary 41A50, 42B99
Language: English
Original paper language: Russian
Citation: K. V. Runovskii, “On approximation by families of linear polynomial operators in lP-spaces, 0<p<1”, Russian Acad. Sci. Sb. Math., 82:2 (1995), 441–459
Citation in format AMSBIB
\Bibitem{Run94}
\by K.~V.~Runovskii
\paper On approximation by families of linear polynomial operators in $l_P$-spaces, $0<p<1$
\jour Russian Acad. Sci. Sb. Math.
\yr 1995
\vol 82
\issue 2
\pages 441--459
\mathnet{http://mi.mathnet.ru/eng/sm919}
\crossref{https://doi.org/10.1070/SM1995v082n02ABEH003574}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1302624}
\zmath{https://zbmath.org/?q=an:0841.42001}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1995RV83000012}
Linking options:
  • https://www.mathnet.ru/eng/sm919
  • https://doi.org/10.1070/SM1995v082n02ABEH003574
  • https://www.mathnet.ru/eng/sm/v185/i8/p81
  • This publication is cited in the following 47 articles:
    1. Sergіi Vakarchuk, Valentina Zabutna, Mikhailo Vakarchuk, “Userednenі kharakteristiki gladkostі v L2 ta otsіnki znachen poperechnikіv funktsіonalnikh klasіv”, Ukr. Mat. Zhurn., 77:2 (2025), 83  crossref
    2. M. R. Langarshoev, “Nailuchshee priblizhenie analiticheskikh v edinichnom kruge funktsii v vesovom prostranstve Bergmana B2,μ”, Vestnik rossiiskikh universitetov. Matematika, 29:145 (2024), 65–76  mathnet  crossref
    3. S. Vakarchuk, M. Vakarchuk, “Nablizhennya v serednomu sumami Fur'є–Besselya klasіv funktsіi u prostorі
      L 2
      [
      ( 0,1 )
      ; x ]
      ta otsіnki znachen ïkh n -poperechnikіv”, Ukr. Mat. Zhurn., 76:2 (2024), 198  crossref
    4. M. R. Langarshoev, A. G. Aidarmamadov, “Nailuchshee priblizhenie analiticheskikh v edinichnom kruge funktsii v vesovom prostranstve Bergmana”, Dalnevost. matem. zhurn., 24:1 (2024), 55–66  mathnet  crossref
    5. M. Sh. Shabozov, A. A. Shabozova, E. U. Kadamshoev, “Value of n-width of some classes of analytic functions in the Bergman space B2”, Moscow University Mathematics Bulletin, 79:3 (2024), 112–121  mathnet  crossref  crossref  elib
    6. M. R. Langarshoev, “Jackson–Stechkin type inequalities between the best polynomial approximations and generalized moduli of continuity in the weighted Bergman space B2,γ”, Math. Notes, 116:3 (2024), 485–497  mathnet  crossref  crossref
    7. Sergii Vakarchuk, Mykhailo Vakarchuk, “Approximation in the Mean for the Classes Of Functions in the Space L2[(0, 1); x] by The Fourier–Bessel Sums And Estimation of the Values of Their n-Widths”, Ukr Math J, 76:2 (2024), 214  crossref
    8. Kh. M. Khuromonov, “Exact inequalities between the best polynomial approximations and averaged norms of finite differences in the B2 space and widths of some classes of functions”, Russian Math. (Iz. VUZ), 66:3 (2022), 50–58  mathnet  crossref  crossref
    9. M. Sh. Shabozov, K. K. Palavonov, “Neravenstva tipa Dzheksona – Stechkina i znachenie poperechnikov nekotorykh klassov funktsii v L2”, Dalnevost. matem. zhurn., 22:1 (2022), 125–137  mathnet  crossref  mathscinet
    10. Kh. M. Khuromonov, M. Sh. Shabozov, “Neravenstva tipa Dzheksona — Stechkina mezhdu nailuchshimi sovmestnymi polinomialnymi priblizheniyami i odnoi kharakteristikoi gladkosti v prostranstve Bergmana”, Vladikavk. matem. zhurn., 24:1 (2022), 109–120  mathnet  crossref
    11. S. Artamonov, K. Runovski, H.-J. Schmeisser, “Methods of trigonometric approximation and generalized smoothness. II”, Eurasian Math. J., 13:4 (2022), 18–43  mathnet  crossref  mathscinet
    12. M. Sh. Shabozov, E. U. Kadamshoev, “Sharp Inequalities between the Best Root-Mean-Square Approximations of Analytic Functions in the Disk and Some Smoothness Characteristics in the Bergman Space”, Math. Notes, 110:2 (2021), 248–260  mathnet  crossref  crossref  isi  elib
    13. M. Sh. Shabozov, “Inequalities between Best Polynomial Approximants and Smoothness Characteristics of Functions in L2”, Math. Notes, 110:3 (2021), 432–439  mathnet  crossref  crossref  isi  elib
    14. M. Sh. Shabozov, M. A. Abdulkhaminov, “Some inequalities between the best polynomial approximation and averaged finite-difference norms in space L2”, Russian Math. (Iz. VUZ), 65:10 (2021), 69–81  mathnet  crossref  crossref
    15. S. Yu. Artamonov, K. V. Runovskii, H.-J. Schmeißer, “Periodic Besov Spaces and Generalized Moduli of Smoothness”, Math. Notes, 108:4 (2020), 603–607  mathnet  crossref  crossref  mathscinet  isi  elib
    16. M. Sh. Shabozov, A. A. Shabozova, “Nekotorye tochnye neravenstva tipa Dzheksona - Stechkina dlya periodicheskikh differentsiruemykh v smysle Veilya funktsii v L2”, Tr. IMM UrO RAN, 25, no. 4, 2019, 255–264  mathnet  crossref  elib
    17. M. Sh. Shabozov, “Nekotorye voprosy approksimatsii periodicheskikh funktsii trigonometricheskimi polinomami v L2”, Chebyshevskii sb., 20:4 (2019), 385–398  mathnet  crossref
    18. K. V. Runovski, “Trigonometric polynomial approximation, K-functionals and generalized moduli of smoothness”, Sb. Math., 208:2 (2017), 237–254  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    19. Vakarchuk S.B., “Jackson-Type Inequalities With Generalized Modulus of Continuity and Exact Values of the N-Widths For the Classes of (Psi, Beta)-Differentiable Functions in l-2. III”, Ukr. Math. J., 68:10 (2017), 1495–1518  crossref  mathscinet  zmath  isi  scopus
    20. Kolomoitsev Yu., “on Moduli of Smoothness and Averaged Differences of Fractional Order”, Fract. Calc. Appl. Anal., 20:4 (2017), 988–1009  crossref  mathscinet  zmath  isi  scopus
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математический сборник - 1992–2005 Sbornik: Mathematics
    Statistics & downloads:
    Abstract page:810
    Russian version PDF:170
    English version PDF:30
    References:53
    First page:1
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025