A sharp inequality in the space l2 which is analogous to Jackson-Chernykh inequality in the space L2 is established. The best rms approximations by integer functions of the exponential type were used. The obtained results can be used in the L2-approximation of periodic functions by trigonometric polynomials.

Original languageEnglish
Pages (from-to)3-8
Number of pages6
JournalVestnik Sankt-Peterburgskogo Universiteta. Ser 1. Matematika Mekhanika Astronomiya
Issue number3
StatePublished - 2003

    Scopus subject areas

  • Mathematics(all)
  • Physics and Astronomy(all)

ID: 101356843