Analysis Mathematica
Volume/Issue:
Volume 32: Issue 2
A note on the best approximation of sine and cosine series
Author:
László LeindlerBolyai Institute, University of Szeged Aradi vértanúk tere 1, 6720 Szeged, Hungary Aradi vértanúk tere 1, 6720 Szeged, Hungary

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Pages:
155–161
Online Publication Date:
13 Jun 2006
Publication Date:
13 Jun 2006
Article Category:
Research Article
DOI:
https://doi.org/10.1007/s10476-006-0007-8
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Summary  

Recently we extended some interesting theorems of Konyushkov giving estimations for the best approximation by the coefficients of the Fourier series of the function in question. We replaced the monotone or quasi-monotone coefficient sequences by coefficient sequences of rest bounded variation. In this note both notions are generalized for such coefficient sequences where certain restriction is given only in terms of the "rest variation" of the sequence.

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Cover Analysis Mathematica
Analysis Mathematica
Print ISSN:
0133-3852
Online ISSN:
1588-273X

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Analysis Mathematica
Language English
Size B5
Year of
Foundation		 1975
Volumes
per Year		 1
Issues
per Year		 4
Founder Akadémiai Kiadó
Founder's
Address		 H-1117 Budapest, Hungary 1516 Budapest, PO Box 245
Publisher Akadémiai Kiadó
Springer Nature Switzerland AG
Publisher's
Address		 H-1117 Budapest, Hungary 1516 Budapest, PO Box 245.
CH-6330 Cham, Switzerland Gewerbestrasse 11.
Responsible
Publisher		 Chief Executive Officer, Akadémiai Kiadó
ISSN 0133-3852 (Print)
ISSN 1588-273X (Online)

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