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Approximation of differentiable functions by partial sums of their Fourier series

โœ Scribed by S. A. Telyakovskii


Publisher
SP MAIK Nauka/Interperiodica
Year
1968
Tongue
English
Weight
310 KB
Volume
4
Category
Article
ISSN
0001-4346

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โœ George Kvernadze ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 157 KB

In our earlier work we developed an algorithm for approximating the locations of discontinuities and the magnitudes of jumps of a bounded function by means of its truncated Fourier series. The algorithm is based on some asymptotic expansion formulas. In the present paper we give proofs for those for