Dansheng Yu

most citedOn

L^{1}

-Convergence of Fourier Series Under

M V B V

Condition

4 citations · 6 across the 3 of their papers we have counts for

collaborators

3 papers

math.CA2007★ 4 cited

On $L^{1}$ -Convergence of Fourier Series Under $M V B V$ Condition

Dan Sheng Yu, Ping Zhou, Song Ping Zhou

Let $f \in L_{2 π}$ be a real-valued even function with its Fourier series $\frac{a _{0}}{2} + \sum_{n = 1}^{\infty} a_{n} cos n x,$ and let $S_{n} (f, x), n \geq 1,$ be the $n$ -th partial su…

math.CA2006★ 2 cited

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 ${a_{n}}$ is a non-increasing (monotonic) real sequence with $n \to \infty lim a_{n} = 0$ , then a necessary and sufficient condition…

math.CA2006

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 $N B V$ condition.

On L1-Convergence of Fourier Series Under MVBV Condition

Ultimate Generalization to Monotonicity for Uniform Convergence of Trigonometric Series

On Relations among Fourier Coefficients and Sum-functions

On $L^{1}$ -Convergence of Fourier Series Under $M V B V$ Condition