The two most known generalizations of the classic Bernshtein's polynomials to the multi-dimensional case are considered for functions defined upon either a cube or a simplex. Asymptotic behavior of Bernshtein's polynomials of several variables bounded function is studied in assumption that the function has its radial limits at a discontinuity point (convergence uniform by all directions) and the function is integrable by Riemann on the unit sphere.

Язык оригиналаанглийский
Страницы (с-по)40-44
Число страниц5
ЖурналVestnik Sankt-Peterburgskogo Universiteta. Ser 1. Matematika Mekhanika Astronomiya
Номер выпуска3
СостояниеОпубликовано - июл 1994

    Предметные области Scopus

  • Математика (все)
  • Физика и астрономия (все)

ID: 86292159