3 citations · 3 across the 4 of their papers we have counts for
4 papers
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…
Some Remarks on the Best Approximation Rate of Certain Trigonometric Series
Song-Ping Zhou, Rui-Jun Le
The main object of the present paper is to give a complete result regarding the best approximation rate of certain trigonometric series in general complex valued continuous functio…
A Remark on "Two-Sided" Monotonicity Condition: An Application to Convergence
Rui-Jun Le, Song-Ping Zhou
To verify the universal validity of the "two-sided" monotonicity condition introduced in [8], we will apply it to include more classical examples. The present paper selects the $L^…
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…