Dansheng Yu

activity

20062013

most citedOn

L^{1}

-Convergence of Fourier Series Under

M V B V

Condition

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

collaborators

4 papers

math.AP2013

On local property of absolute summability of factored Fourier series

Hüseyin Bor, Dansheng Yu, Ping Zhou

We establish two general theorems on the local properties of the absolute summability of factored Fourier series by applying a recently defined absolute summability, $\left\vert A,…

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 local property of absolute summability of factored Fourier series

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