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Ultimate Generalization to Monotonicity for Uniform Convergence of Trigonometric Series
Song-Ping Zhou, Ping Zhou, Dan-Sheng Yu
Chaundy and Jolliffe [4] proved that if is a non-increasing (monotonic) real sequence with , then a necessary and sufficient condition…
On L1 Convergence of Fourier Series of Complex Valued Functions
Rui-Jun Le, Song-Ping Zhou
In the present paper, we give a brief review of -convergence of trigonometric series. Previous known results in this direction are improved and generalized by establishing a…
On Relations among Fourier Coefficients and Sum-functions
Dan-Sheng Yu, Song-Ping Zhou
We generalize five theorems of Leindler on the relations among Fourier coefficients and sum-functions under the more general condition.
A new condition for the uniform convergence of certain trigonometric series
Rui-Jun Le, Song-Ping Zhou
The present paper proposes a new condition to replace both the (-regularly varying) quasimonotone condition and a certain type of bounded variation condition, and shows the same…