9 citations · 12 across the 5 of their papers we have counts for
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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^…
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 Generalization of Monotonicity Condition and Applications
Dan-Sheng Yu, Song-Ping Zhou
In the present paper, we introduce a new class of sequences called to generalize , essentially extending monotonicity from "one sided" to "two sided", while some impor…
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…