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On the rate of convergence in L of Fourier sine series with monotone coefficients.
- Source :
-
Mathematical Notes . Sep2016, Vol. 100 Issue 3/4, p472-476. 5p. - Publication Year :
- 2016
-
Abstract
- It is shown that the exact order of decrease of the norm in L of the remainder of a Fourier sine series with monotone coefficients can be expressed in terms of the coefficients of the series just as for a series with convex coefficients. But the numerical multipliers in the estimates are different. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00014346
- Volume :
- 100
- Issue :
- 3/4
- Database :
- Academic Search Index
- Journal :
- Mathematical Notes
- Publication Type :
- Academic Journal
- Accession number :
- 118990725
- Full Text :
- https://doi.org/10.1134/S0001434616090145