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One-sided weighted integral approximation of characteristic functions of intervals by polynomials on a closed interval

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  • معلومة اضافية
    • بيانات النشر:
      Maik Nauka-Interperiodica Publishing
    • الموضوع:
      2017
    • Collection:
      Ural Federal University (URFU): ELAR / Уральский федеральный университет: электронный архив УрФУ
    • نبذة مختصرة :
      We consider the problem of one-sided weighted integral approximation on the interval [−1, 1] to the characteristic functions of intervals (a, 1] ⊂ (−1, 1] and (a, b) ⊂ (−1, 1) by algebraic polynomials. In the case of half-intervals, the problem is solved completely. We construct an example to illustrate the difficulties arising in the case of an open interval. © 2017, Pleiades Publishing, Ltd.
    • File Description:
      application/pdf
    • Relation:
      Babenko A. G. One-sided weighted integral approximation of characteristic functions of intervals by polynomials on a closed interval / A. G. Babenko, M. V. Deikalova, S. G. Revesz. — DOI 10.1134/S0081543817050029 // Proceedings of the Steklov Institute of Mathematics. — 2017. — Vol. 297. — P. 11-18.; 815438; Final; All Open Access, Green; https://www.scopus.com/inward/record.uri?eid=2-s2.0-85029094349&doi=10.1134%2fS0081543817050029&partnerID=40&md5=229ff611a92e0c8f86ef05d5af38b019; http://elar.urfu.ru/handle/10995/102752; 85029094349
    • الرقم المعرف:
      10.1134/S0081543817050029
    • Rights:
      info:eu-repo/semantics/openAccess
    • الرقم المعرف:
      edsbas.D6594991