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Bernshtein's polynomials of discontinuous functions. / Podkorytov, A. N.; Gonsales, E. G.

In: Vestnik Sankt-Peterburgskogo Universiteta. Ser 1. Matematika Mekhanika Astronomiya, No. 3, 07.1994, p. 40-44.

Research output: Contribution to journal › Article › peer-review

Harvard

Podkorytov, AN & Gonsales, EG 1994, 'Bernshtein's polynomials of discontinuous functions', Vestnik Sankt-Peterburgskogo Universiteta. Ser 1. Matematika Mekhanika Astronomiya, no. 3, pp. 40-44.

APA

Podkorytov, A. N., & Gonsales, E. G. (1994). Bernshtein's polynomials of discontinuous functions. Vestnik Sankt-Peterburgskogo Universiteta. Ser 1. Matematika Mekhanika Astronomiya, (3), 40-44.

Vancouver

Podkorytov AN, Gonsales EG. Bernshtein's polynomials of discontinuous functions. Vestnik Sankt-Peterburgskogo Universiteta. Ser 1. Matematika Mekhanika Astronomiya. 1994 Jul;(3):40-44.

Author

Podkorytov, A. N. ; Gonsales, E. G. / Bernshtein's polynomials of discontinuous functions. In: Vestnik Sankt-Peterburgskogo Universiteta. Ser 1. Matematika Mekhanika Astronomiya. 1994 ; No. 3. pp. 40-44.

BibTeX

@article{caa2eb69a4a44c6ba397182674f1e476,
title = "Bernshtein's polynomials of discontinuous functions",
abstract = "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.",
author = "Podkorytov, {A. N.} and Gonsales, {E. G.}",
year = "1994",
month = jul,
language = "English",
pages = "40--44",
journal = "ВЕСТНИК САНКТ-ПЕТЕРБУРГСКОГО УНИВЕРСИТЕТА. МАТЕМАТИКА. МЕХАНИКА. АСТРОНОМИЯ",
issn = "1025-3106",
publisher = "Издательство Санкт-Петербургского университета",
number = "3",

}

RIS

TY - JOUR

T1 - Bernshtein's polynomials of discontinuous functions

AU - Podkorytov, A. N.

AU - Gonsales, E. G.

PY - 1994/7

Y1 - 1994/7

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0028475288&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0028475288

SP - 40

EP - 44

JO - ВЕСТНИК САНКТ-ПЕТЕРБУРГСКОГО УНИВЕРСИТЕТА. МАТЕМАТИКА. МЕХАНИКА. АСТРОНОМИЯ

JF - ВЕСТНИК САНКТ-ПЕТЕРБУРГСКОГО УНИВЕРСИТЕТА. МАТЕМАТИКА. МЕХАНИКА. АСТРОНОМИЯ

SN - 1025-3106

IS - 3

ER -

ID: 86292159