Relations among Fourier coefficients and sum-functions

Author: László Leindler

Source: Acta Mathematica Hungarica, Volume 104, Numbers 1-2, 2004 , pp. 171-183(13)

Publisher: Springer

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Abstract:

Among others a general equivalence theorem on Fourier cosine series with monotone coefficients are generalized to coefficients of rest bounded variation. Similarly some theorems of Aljanccaronicacute are also extended, namely one of them in this generalized form is required to the proof of the equivalence theorem.

Keywords: Fourier coefficients; coefficients of rest bounded variation; sum-functions

Document Type: Research article

DOI: http://dx.doi.org/10.1023/B:AMHU.0000034370.78464.82

Affiliations: 1: University of Szeged, Bolyai Institute H-6720 Szeged, Aradi Vértanúk tere 1, Hungary

Publication date: 2004-01-01

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