On the connection of coefficient and structural conditions about fourier series

Research output: Contribution to journalArticle

Abstract

We extend the validity of some theorems treating the relations of coefficient and structural conditions with respect to Fourier series. The extension means that the conditions given by means of the function xβ, β < 0, are replaced by concave or Mulholland-type functions.

Original languageEnglish
Pages (from-to)261-273
Number of pages13
JournalHokkaido Mathematical Journal
Volume31
Issue number1
DOIs
Publication statusPublished - Jan 1 2002

Fingerprint

Fourier series
Coefficient
Theorem

Keywords

  • Best approximation
  • Coefficient and structural condition
  • Concave function
  • Fourier series
  • Mulholland function

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

On the connection of coefficient and structural conditions about fourier series. / Leindler, L.

In: Hokkaido Mathematical Journal, Vol. 31, No. 1, 01.01.2002, p. 261-273.

Research output: Contribution to journalArticle

@article{3224cd6e650c4d7d9eda187715d3570b,
title = "On the connection of coefficient and structural conditions about fourier series",
abstract = "We extend the validity of some theorems treating the relations of coefficient and structural conditions with respect to Fourier series. The extension means that the conditions given by means of the function xβ, β < 0, are replaced by concave or Mulholland-type functions.",
keywords = "Best approximation, Coefficient and structural condition, Concave function, Fourier series, Mulholland function",
author = "L. Leindler",
year = "2002",
month = "1",
day = "1",
doi = "10.14492/hokmj/1350911780",
language = "English",
volume = "31",
pages = "261--273",
journal = "Hokkaido Mathematical Journal",
issn = "0385-4035",
publisher = "Department of Mathematics, Hokkaido University",
number = "1",

}

TY - JOUR

T1 - On the connection of coefficient and structural conditions about fourier series

AU - Leindler, L.

PY - 2002/1/1

Y1 - 2002/1/1

N2 - We extend the validity of some theorems treating the relations of coefficient and structural conditions with respect to Fourier series. The extension means that the conditions given by means of the function xβ, β < 0, are replaced by concave or Mulholland-type functions.

AB - We extend the validity of some theorems treating the relations of coefficient and structural conditions with respect to Fourier series. The extension means that the conditions given by means of the function xβ, β < 0, are replaced by concave or Mulholland-type functions.

KW - Best approximation

KW - Coefficient and structural condition

KW - Concave function

KW - Fourier series

KW - Mulholland function

UR - http://www.scopus.com/inward/record.url?scp=85035258746&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85035258746&partnerID=8YFLogxK

U2 - 10.14492/hokmj/1350911780

DO - 10.14492/hokmj/1350911780

M3 - Article

AN - SCOPUS:85035258746

VL - 31

SP - 261

EP - 273

JO - Hokkaido Mathematical Journal

JF - Hokkaido Mathematical Journal

SN - 0385-4035

IS - 1

ER -