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The evaluation of the norms of strong Fejer sums with power p for orthogonal polynomials. / Vinogradov, O. L.

In: Vestnik Sankt-Peterburgskogo Universiteta. Ser 1. Matematika Mekhanika Astronomiya, No. 1, 01.1996, p. 9-15.

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

Harvard

Vinogradov, OL 1996, 'The evaluation of the norms of strong Fejer sums with power p for orthogonal polynomials', Vestnik Sankt-Peterburgskogo Universiteta. Ser 1. Matematika Mekhanika Astronomiya, no. 1, pp. 9-15.

APA

Vinogradov, O. L. (1996). The evaluation of the norms of strong Fejer sums with power p for orthogonal polynomials. Vestnik Sankt-Peterburgskogo Universiteta. Ser 1. Matematika Mekhanika Astronomiya, (1), 9-15.

Vancouver

Vinogradov OL. The evaluation of the norms of strong Fejer sums with power p for orthogonal polynomials. Vestnik Sankt-Peterburgskogo Universiteta. Ser 1. Matematika Mekhanika Astronomiya. 1996 Jan;(1):9-15.

Author

Vinogradov, O. L. / The evaluation of the norms of strong Fejer sums with power p for orthogonal polynomials. In: Vestnik Sankt-Peterburgskogo Universiteta. Ser 1. Matematika Mekhanika Astronomiya. 1996 ; No. 1. pp. 9-15.

BibTeX

@article{14df523adb6f49b5a7929894d74dea54,
title = "The evaluation of the norms of strong Fejer sums with power p for orthogonal polynomials",
abstract = "The problem of evaluating the norms of the strong Fejer sums with the power p for orthogonal polynomials has been considered. It has been proved that the norms of the strong Fejer sums have been limited for 1≤p≤2. The estimations have contained the concrete values of constants. The results have been refined for Legendre polynomials. The following inequality An(p,x) ≤ √ 1/2 ln n + 1 has been obtained for Legendre polynomials at p=1, x=1.",
author = "Vinogradov, {O. L.}",
year = "1996",
month = jan,
language = "English",
pages = "9--15",
journal = "ВЕСТНИК САНКТ-ПЕТЕРБУРГСКОГО УНИВЕРСИТЕТА. МАТЕМАТИКА. МЕХАНИКА. АСТРОНОМИЯ",
issn = "1025-3106",
publisher = "Издательство Санкт-Петербургского университета",
number = "1",

}

RIS

TY - JOUR

T1 - The evaluation of the norms of strong Fejer sums with power p for orthogonal polynomials

AU - Vinogradov, O. L.

PY - 1996/1

Y1 - 1996/1

N2 - The problem of evaluating the norms of the strong Fejer sums with the power p for orthogonal polynomials has been considered. It has been proved that the norms of the strong Fejer sums have been limited for 1≤p≤2. The estimations have contained the concrete values of constants. The results have been refined for Legendre polynomials. The following inequality An(p,x) ≤ √ 1/2 ln n + 1 has been obtained for Legendre polynomials at p=1, x=1.

AB - The problem of evaluating the norms of the strong Fejer sums with the power p for orthogonal polynomials has been considered. It has been proved that the norms of the strong Fejer sums have been limited for 1≤p≤2. The estimations have contained the concrete values of constants. The results have been refined for Legendre polynomials. The following inequality An(p,x) ≤ √ 1/2 ln n + 1 has been obtained for Legendre polynomials at p=1, x=1.

UR - http://www.scopus.com/inward/record.url?scp=0029677509&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0029677509

SP - 9

EP - 15

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

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

SN - 1025-3106

IS - 1

ER -

ID: 101357576