科研项目

逼近论中的极值问题与调和分析中的收敛问题”（国家自然科学基金，2005-2007）。

“函数逼近论中的某些极值问题与调和分析中的收敛问题”（国家自然科学基金，2008-2010），在研。

著作论文

[1] Yang Lianhong, Liu Yongping, Relative widths of smooth functions determined by linear differential operator, J. Math. Anal. Appl., 351:2(2009), 734-746.

[2] Li Jian, Liu Yongping, The Jackson inequality for the best L^2-Approximation of functions on [0, 1] with the weight x, Numerical Mathematics:Theory, Methods and Applications, 1:3(2008).

[3] Liu Yongping, Xiao Weiwei, Relative Average widths of Sobolev spaces in L_2(R^d), Analysis Mathematica, 34(2008), 71-82. pdf

[4] Liu Yongping, Yang Lianhong, Relative widths of smooth functions determined by fractional order derivatives, J. Complexity, 24:2(2008), 259-282.

[5] Ivanov, V. I.; Chertova, D. V.; Liu, Yong Ping, The Jackson theorem in the space $L/sb 2$ on the interval [-1,1] with a power weight. Mat. Zametki, 84 :1 (2008), 136—138

[6] Gui Shaohui, Liu Yongping, Asymptotic estimate for the Lebesgue constant of cardinal L- spline interpolation operator, East Journal on Approximation, 3(2007), 331-355.

[7] Hui Cao, Yongping Liu. Lebesgue constants on Gaussian cardinal interpolation operators from l(Z) into L(R). Analysis Mathematica, 32(2006), 265-277.