An application of a method of summability to Fourier series
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资源简介:
Applying $r$-repeated de la Vallée Poussin sums, we have proved four theorems which show the upper bound of the $r$-repeated de la Vall\'ee Poussin kernel, their convergence at a point, the deviation between a continuous function and the $r$-repeated de la Vallée Poussin sums of partial sums of its Fourier series, and finally we determine the degree of approximation of functions belonging to ordinary Lipschitz class.
提供机构:
University of Salento
创建时间:
2024-09-02



