Summability of Fourier series with the method of lacunary arithmetical means at the Lebesgue points

1997/12/01 by E. Belinsky, Eduard Belinsky · 2 citations
Mathematics · #advanced mathematical theories #Mathematical Approximation and Integration #Approximation Theory and Sequence Spaces

paper · pdf · doi:10.1090/s0002-9939-97-04153-1

Abstract

The existence of the ‘rare’ sequence of partial sums summable with the method of arithmetical means at each Lebesgue point is proved in the paper. The proof is based on the strategy of random choice.

Cited by

• Almost everywhere convergence of Fejér and logarithmic means of subsequences of partial sums of the Walsh–Fourier series of integrable functions
• Almost everywhere divergence of Cesàro means of subsequences of partial sums of trigonometric Fourier series

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