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摘要
An important trigonometric inequality essentially due to Wiener but later on made precise by Ingham concerning the lacunary trigonometric sums , where 's are complex numbers, and satisfies the small gap condition for , says that if I is any subinterval of of length then , , wherein depends only on . Such an inequality is proved here in the setting of the Vilenkin groups G. The inequality is then applied to generalize the Bernstin, Szasz and Stehkin type results concerning the absolute convergence of Fourier series on G.
- 出版日期2016-3
