Asymptotic estimates of approximation of continuous periodic functions by Fourier sums |
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Authors: | V. T. Gavrilyuk |
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Affiliation: | (1) Mathematics Institute, Academy of Sciences of the Ukrainian SSR, Kiev |
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Abstract: | Asymptotic estimates, expressed in terms of the value of the modulus of continuity of r-th order (r2) at the point t=/n of a functionfC2 or of the (, )-derivative of a functionfCBC, are established for the deviations of continuous periodic functions from their Fourier sums.Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 42, No. 6, pp. 747–755, June, 1990. |
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