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Estimate for the Rate of Uniform Convergence of the Fourier Series of a Continuous Periodic Function of Bounded -Variation.
- Source :
-
Mathematical Notes . Feb2024, Vol. 115 Issue 1/2, p258-268. 11p. - Publication Year :
- 2024
-
Abstract
- We obtain an estimate for the convergence rate of the Fourier series of a continuous periodic function in terms of the modulus of continuity of the function and the value of its -variation. We prove that the leading term of the estimate is sharp. [ABSTRACT FROM AUTHOR]
- Subjects :
- *CONTINUOUS functions
*PERIODIC functions
*FOURIER series
Subjects
Details
- Language :
- English
- ISSN :
- 00014346
- Volume :
- 115
- Issue :
- 1/2
- Database :
- Academic Search Index
- Journal :
- Mathematical Notes
- Publication Type :
- Academic Journal
- Accession number :
- 176757901
- Full Text :
- https://doi.org/10.1134/S0001434624010243